Question

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

Explanation:

Step1: Divide the shape into rectangles

Divide the given shape into three rectangles.

Step2: Calculate the area of each rectangle

• For the first rectangle (top - left): length \(l_1=(2 + 2)\) in, width \(w_1 = 2\) in. Area \(A_1=l_1\times w_1=(2 + 2)\times2=8\) square inches.
• For the second rectangle (middle): length \(l_2=(2+2 + 2)\) in, width \(w_2 = 2\) in. Area \(A_2=l_2\times w_2=(2+2 + 2)\times2 = 12\) square inches.
• For the third rectangle (right): length \(l_3 = 6\) in, width \(w_3=2\) in. Area \(A_3=l_3\times w_3=6\times2 = 12\) square inches.

Step3: Sum up the areas

Total area \(A=A_1+A_2+A_3=8 + 12+12=32\) square inches.

Answer:

\(32\)