Question

Determine the area of the composite figure to the nearest whole number. A) 132 ft2 Eliminate B) 176 ft2 C) 184 ft2 D) 216 ft2

Answer 1

Answer:

B) 176 ft²

Step-by-step explanation:

The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.

Area of a square

area = L²

where

L = length

L = 9 ft

area = 9²

area = 81 ft²

Area of the 3 semi circles

area of a single semi circle = πr²/2

For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)

r = 9/2 = 4.5

area of a single semi circle = (3.14 × 4.5²)/2

area of a single semi circle = (3.14 × 20.25 ) /2

area of a single semi circle = 63.585 /2

area of a single semi circle = 31.7925

Area for 3 semi circles = 31.7925  × 3 = 95.3775  ft²

Area of the composite figure =  95.3775  ft² + 81 ft² = 176.3775  ft

Area of the composite figure ≈ 176 ft²