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 \(13\) yd and the width is \(10\) yd. So, \(A_{large}=13\times10 = 130\) \(yd^{2}\).

Step2: Calculate the area of the small rectangle

The length of the small rectangle is \(5\) yd and the width is \(5\) yd. Using the area formula \(A = length\times width\), we get \(A_{small}=5\times5=25\) \(yd^{2}\).

Step3: Calculate the area of the composite figure

The area of the composite figure is the area of the large rectangle minus the area of the small rectangle. So, \(A = A_{large}-A_{small}\). Substitute the values: \(A=130 - 25\).

Answer:

\(105\)