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 (left - most): length \(l_1 = 2\) yd, width \(w_1=2\) yd. Area \(A_1=l_1\times w_1 = 2\times2=4\) square yd.
• For the second rectangle (middle): length \(l_2=(2 + 1)\) yd \(=3\) yd, width \(w_2 = 2\) yd. Area \(A_2=l_2\times w_2=3\times2 = 6\) square yd.
• For the third rectangle (right - most): length \(l_3 = 3\) yd, width \(w_3=5\) yd. Area \(A_3=l_3\times w_3=3\times5=15\) square yd.

Step3: Sum up the areas of all rectangles

Total area \(A=A_1 + A_2+A_3\).
\(A = 4+6 + 15\)
\(A=25\)

Answer:

25