Question

note: figure not drawn to scale if a = 22 ft, b = 34 ft, and c = 37 ft, what is the area of the backyard? a. 1,003 ft² b. 27,676 ft² c. 93 ft² d. 1,258 ft²

Explanation:

Step1: Identify the shape as trapezoid

The figure has two parallel sides \(a\) and \(c\), and base \(b\) (the distance between them).

Step2: Apply trapezoid area formula

Area \(= \frac{1}{2} \times (a + c) \times b\)

Step3: Substitute values

\(\frac{1}{2} \times (22 + 37) \times 34 = \frac{1}{2} \times 59 \times 34\)

Step4: Calculate the result

\(\frac{1}{2} \times 59 \times 34 = 59 \times 17 = 1003\) ft²

Answer:

A. 1,003 ft²