Question

The heller family’s backyard is shaped like a trapezoid as shown. The area of the backyard is 6,875 square feet. What is the perimeter of the yard?
Explain how you found your answer.

Answer 1

We began by solving for the second base b, then we found the perimeter of the backyard by summing all the sides which is 365 feet

Mensuration of Flat shapes

Given Data

• Base a = 110ft

• Base b = ??

• Height h = 55ft

• Area = 6,875ft^2

We know that the expression for the area of trapezoid is given as

Area = (a+b)*h/2

Substituting our given data to find Base B

6875 = (110+b)/2 * 55

6875*2 = (110+b)* 55

13750 = 6050+ 55b

13750 - 6050 = 55b

7700 = 55b

Divide both sides by 55

b = 7700/55

b = 140 ft

Now we can find the perimeter by summing all the sides together

Perimeter = 110+60+140+55

Perimeter = 365 feet

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