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Use Properties of Rectangles, Triangles, and Trapezoids

Understand Linear, Square, Cubic Measure

In the following exercises, would you measure each item using linear, square, or cubic measure?

amount of sand in a sandbag

cubic

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In the following exercises, find

  1. the perimeter
  2. the area of each figure

Three squares are shown, in a sideways L shape.

  1. 8 units
  2. 3 sq. units

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Use Properties of Rectangles In the following exercises, find the

  1. perimeter
  2. area of each rectangle

The length of a rectangle is 42 meters and the width is 28 meters.

  1. 140 m
  2. 1176 sq. m

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The length of a rectangle is 36 feet and the width is 19 feet.

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A sidewalk in front of Kathy’s house is in the shape of a rectangle 4 feet wide by 45 feet long.

  1. 98 ft.
  2. 180 sq. ft.

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A rectangular room is 16 feet wide by 12 feet long. In the following exercises, solve.

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Find the length of a rectangle with perimeter of 220 centimeters and width of 85 centimeters.

25 cm

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Find the width of a rectangle with perimeter 39 and length 11 .

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The area of a rectangle is 2356 square meters. The length is 38 meters. What is the width?

62 m

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The width of a rectangle is 45 centimeters. The area is 2700 square centimeters. What is the length?

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The length of a rectangle is 12 centimeters more than the width. The perimeter is 74 centimeters. Find the length and the width.

24.5 in., 12.5 in.

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The width of a rectangle is 3 more than twice the length. The perimeter is 96 inches. Find the length and the width.

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Use Properties of Triangles

In the following exercises, solve using the properties of triangles.

Find the area of a triangle with base 18 inches and height 15 inches.

135 sq. in.

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Find the area of a triangle with base 33 centimeters and height 21 centimeters.

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A triangular road sign has base 30 inches and height 40 inches. What is its area?

600 sq. in.

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If a triangular courtyard has sides 9 feet and 12 feet and the perimeter is 32 feet, how long is the third side?

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A tile in the shape of an isosceles triangle has a base of 6 inches. If the perimeter is 20 inches, find the length of each of the other sides.

7 in., 7 in.

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Find the length of each side of an equilateral triangle with perimeter of 81 yards.

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The perimeter of a triangle is 59 feet. One side of the triangle is 3 feet longer than the shortest side. The third side is 5 feet longer than the shortest side. Find the length of each side.

17 ft., 20 ft., 22 ft.

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One side of a triangle is three times the smallest side. The third side is 9 feet more than the shortest side. The perimeter is 39 feet. Find the lengths of all three sides.

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Use Properties of Trapezoids

In the following exercises, solve using the properties of trapezoids.

The height of a trapezoid is 8 feet and the bases are 11 and 14 feet. What is the area?

100 sq. ft.

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The height of a trapezoid is 5 yards and the bases are 7 and 10 yards. What is the area?

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Find the area of the trapezoid with height 25 meters and bases 32.5 and 21.5 meters.

675 sq. m

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A flag is shaped like a trapezoid with height 62 centimeters and the bases are 91.5 and 78.1 centimeters. What is the area of the flag?

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Solve Geometry Applications: Circles and Irregular Figures

Use Properties of Circles

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Berger describes sociologists as concerned with
Mueller Reply
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
August Reply
What is the expressiin for seven less than four times the number of nickels
Leonardo Reply
How do i figure this problem out.
how do you translate this in Algebraic Expressions
linda Reply
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
Crystal Reply
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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