Question

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

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions \(5\times5\) and the other has dimensions \((4 + 4+5)\times2\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is \(A = l\times w\). For the first rectangle with length \(l = 5\) yd and width \(w = 5\) yd, \(A_1=5\times5 = 25\) \(yd^{2}\).

Step3: Calculate the area of the second rectangle

The length of the second rectangle is \(l=4 + 4+5=13\) yd and width \(w = 2\) yd. So, \(A_2=13\times2=26\) \(yd^{2}\).

Step4: Calculate the total area

The total area of the figure \(A = A_1+A_2\). \(A=25 + 26=51\) \(yd^{2}\).

Answer:

51