Question

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

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = length\times width\). The length of the large rectangle is \(9\) yd and the width is \(10\) yd. So, \(A_1=9\times10 = 90\) \(yd^{2}\).

Step2: Calculate the area of the small missing - like rectangle

The height of the small rectangle is \(5\) yd and the width is \(9-(5 + 2)=2\) yd. Using the area formula \(A = length\times width\), we get \(A_2 = 5\times2=10\) \(yd^{2}\).

Step3: Calculate the area of the figure

The area of the figure \(A=A_1 - A_2\). Substitute \(A_1 = 90\) \(yd^{2}\) and \(A_2 = 10\) \(yd^{2}\) into the formula. So, \(A=90 - 10=80\) \(yd^{2}\).

Answer:

\(80\) \(yd^{2}\)