# 9.7 Solve a formula for a specific variable  (Page 7/9)

 Page 7 / 9

## 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

height of a tree

size of a patio

square

length of a highway

In the following exercises, find

1. the perimeter
2. the area of each figure

1. 8 units
2. 3 sq. units

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

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

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.

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

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

25 cm

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

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

62 m

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

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.

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

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.

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

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

600 sq. in.

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

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.

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

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.

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.

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.

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

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

675 sq. m

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?

## Solve Geometry Applications: Circles and Irregular Figures

Use Properties of Circles

what does nano mean?
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?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
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
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?
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 ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
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
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
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.
what is nano technology
what is system testing?
preparation of nanomaterial
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
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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.
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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)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?