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
1 answer:
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
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given:
Type of Flowers = 5
To choose = 4
Required
Number of ways 4 can be chosen
The first flower can be chosen in 5 ways
The second flower can be chosen in 4 ways
The third flower can be chosen in 3 ways
The fourth flower can be chosen in 2 ways
Total Number of Selection = 5 * 4 * 3 * 2
Total Number of Selection = 120 ways;
Alternatively, this can be solved using concept of Permutation;
Given that 4 flowers to be chosen from 5,
then n = 5 and r = 4
Such that
Substitute 5 for n and 4 for r
Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways