<< Chapter < Page Chapter >> Page >

Use the Properties of Trapezoids

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

The height of a trapezoid is 12 feet and the bases are 9 and 15 feet. What is the area?

144 sq. ft

Got questions? Get instant answers now!

The height of a trapezoid is 24 yards and the bases are 18 and 30 yards. What is the area?

Got questions? Get instant answers now!

Find the area of a trapezoid with a height of 51 meters and bases of 43 and 67 meters.

2805 sq. m

Got questions? Get instant answers now!

Find the area of a trapezoid with a height of 62 inches and bases of 58 and 75 inches.

Got questions? Get instant answers now!

The height of a trapezoid is 15 centimeters and the bases are 12.5 and 18.3 centimeters. What is the area?

231 sq. cm

Got questions? Get instant answers now!

The height of a trapezoid is 48 feet and the bases are 38.6 and 60.2 feet. What is the area?

Got questions? Get instant answers now!

Find the area of a trapezoid with a height of 4.2 meters and bases of 8.1 and 5.5 meters.

28.56 sq. m

Got questions? Get instant answers now!

Find the area of a trapezoid with a height of 32.5 centimeters and bases of 54.6 and 41.4 centimeters.

Got questions? Get instant answers now!

Laurel is making a banner shaped like a trapezoid. The height of the banner is 3 feet and the bases are 4 and 5 feet. What is the area of the banner?

13.5 sq. ft

Got questions? Get instant answers now!

Niko wants to tile the floor of his bathroom. The floor is shaped like a trapezoid with width 5 feet and lengths 5 feet and 8 feet. What is the area of the floor?

Got questions? Get instant answers now!

Theresa needs a new top for her kitchen counter. The counter is shaped like a trapezoid with width 18.5 inches and lengths 62 and 50 inches. What is the area of the counter?

1036 sq. in.

Got questions? Get instant answers now!

Elena is knitting a scarf. The scarf will be shaped like a trapezoid with width 8 inches and lengths 48.2 inches and 56.2 inches. What is the area of the scarf?

Got questions? Get instant answers now!

Everyday math

Fence Jose just removed the children’s playset from his back yard to make room for a rectangular garden. He wants to put a fence around the garden to keep out the dog. He has a 50 foot roll of fence in his garage that he plans to use. To fit in the backyard, the width of the garden must be 10 feet. How long can he make the other side if he wants to use the entire roll of fence?

15 ft

Got questions? Get instant answers now!

Gardening Lupita wants to fence in her tomato garden. The garden is rectangular and the length is twice the width. It will take 48 feet of fencing to enclose the garden. Find the length and width of her garden.

Got questions? Get instant answers now!

Fence Christa wants to put a fence around her triangular flowerbed. The sides of the flowerbed are 6 feet, 8 feet, and 10 feet. The fence costs $10 per foot. How much will it cost for Christa to fence in her flowerbed?

$24

Got questions? Get instant answers now!

Painting Caleb wants to paint one wall of his attic. The wall is shaped like a trapezoid with height 8 feet and bases 20 feet and 12 feet. The cost of the painting one square foot of wall is about $0.05 . About how much will it cost for Caleb to paint the attic wall?

A right trapezoid is shown.
Got questions? Get instant answers now!

Writing exercises

If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen? Explain your reasoning.

Answers will vary.

Got questions? Get instant answers now!

If you need to put a fence around your backyard, do you need to know the perimeter or the area of the backyard? Explain your reasoning.

Got questions? Get instant answers now!

Look at the two figures.

A rectangle is shown on the left. It is labeled as 2 by 8. A square is shown on the right. It is labeled as 4 by 4.

Which figure looks like it has the larger area? Which looks like it has the larger perimeter?

Now calculate the area and perimeter of each figure. Which has the larger area? Which has the larger perimeter?

Answers will vary.

Got questions? Get instant answers now!

The length of a rectangle is 5 feet more than the width. The area is 50 square feet. Find the length and the width.

Write the equation you would use to solve the problem.

Why can’t you solve this equation with the methods you learned in the previous chapter?

Got questions? Get instant answers now!

Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

On a scale of 1–10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?

Practice Key Terms 6

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