<< Chapter < Page Chapter >> Page >

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

25 cm

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

62 m

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

600 sq. in.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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.

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

675 sq. m

Got questions? Get instant answers now!

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?

Got questions? Get instant answers now!

Solve Geometry Applications: Circles and Irregular Figures

Use Properties of Circles

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Prealgebra' conversation and receive update notifications?

Ask