Question

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

Explanation:

Step1: Calculate the area of the first rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the rectangle with length \(l = 5\) yd and width \(w = 2\) yd, the area \(A_1=5\times2 = 10\) square yards.

Step2: Calculate the area of the second rectangle

For the rectangle with length \(l=(6)\) yd and width \(w = 1\) yd, the area \(A_2 = 6\times1=6\) square yards.

Step3: Calculate the area of the third rectangle

For the rectangle with length \(l = 4\) yd and width \(w=4\) yd, the area \(A_3=4\times4 = 16\) square yards.

Step4: Sum up the areas

The total area \(A=A_1 + A_2+A_3\). Substitute \(A_1 = 10\), \(A_2=6\) and \(A_3 = 16\) into the formula: \(A=10 + 6+16=32\) square yards.

Answer:

\(32\)