Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into two rectangles

The figure can be divided into a larger rectangle and a smaller rectangle.

Step2: Calculate the area of the larger rectangle

The length of the larger rectangle is \(7\) yd and the width is \(8 - 3=5\) yd. The area of a rectangle is \(A = l\times w\), so \(A_1=7\times5 = 35\) \(yd^{2}\).

Step3: Calculate the area of the smaller rectangle

The length of the smaller rectangle is \(2\) yd and the width is \(3\) yd. Using the formula \(A = l\times w\), we get \(A_2=2\times3=6\) \(yd^{2}\).

Step4: Sum up the areas of the two rectangles

The total area \(A = A_1+A_2\). So \(A=35 + 6=41\) \(yd^{2}\).

Answer:

\(41\)