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 \(l = 2\) yd, width \(w=2\) yd. Area \(A_1=l\times w = 2\times2=4\) square yd.
• For the second rectangle (middle): length \(l=(2 + 1)\) yd \(=3\) yd, width \(w = 2\) yd. Area \(A_2=l\times w=3\times2 = 6\) square yd.
• For the third rectangle (right - most): length \(l = 5\) yd, width \(w=3\) yd. Area \(A_3=l\times w=5\times3=15\) square yd.

Step3: Sum up the areas of all rectangles

Total area \(A=A_1 + A_2+A_3\). Substitute \(A_1 = 4\), \(A_2 = 6\) and \(A_3=15\) into the formula. \(A=4 + 6+15=19\) square yd.

Answer:

19 square yards