Question

find the area of the compound shape. 7 mm 2 mm 6 mm 7 mm 5 mm 13 mm 39 square mm 79 square mm 92 square mm 40 square mm

Explanation:

Step1: Split shape into two rectangles

We can divide the compound shape into a left square/rectangle and a right rectangle.
Left rectangle: width = 7 mm, height = 7 mm
Right rectangle: width = 6 mm, height = $7 - 2 = 5$ mm

Step2: Calculate area of left rectangle

Area = length × width
$A_1 = 7 \times 7 = 49$ mm²

Step3: Calculate area of right rectangle

Area = length × width
$A_2 = 6 \times 5 = 30$ mm²

Step4: Sum the two areas

Total area = $A_1 + A_2$
$A_{total} = 49 + 30 = 79$ mm²

Answer:

79 square mm