The area of the pool’s border will be 100 square meters, approximately. Then the correct option is D.
<h3>What is the area of the rectangle?</h3>
The coordinate plane shows the floor plan for a swimming pool.
A graph plots the distance of the floor plan of a swimming pool with a pool and pool border.
The data points of the pool are (3, 12), (7, 15), (13, 7) and (9, 4) and pool border are (0, 12), (9, 18), (17, 6) and (9, 0).
Then the big area of the rectangle will be
A₁ = L₁ × W₁
The distance between the (0, 12) and (9, 18) will be
L₁² = (9 – 0)² + (18 – 12)²
L₁ = 10.82 meters
The distance between the (17, 6) and (9, 18) will be
W₁² = (17 – 9)² + (6 – 18)²
W₁ = 14.42 meters
Then we have
A₁ = 10.82 x 14.42
A₁ = 156.02 ≈ 156 square meters
Then the small area of the rectangle will be
A₂ = L₂ × W₂
The distance between the (3, 12) and (7, 15) will be
L₂² = (7 – 3)² + (15 – 12)²
L₂ = 5 meters
The distance between the (7, 15) and (13, 7) will be
W₂² = (13 – 7)² + (7 – 15)²
W₂ = 10 meters
Then we have
A₂ = 10 x 5
A₂ = 50 square meters
Then the area of the pool’s border will be
A = A₁ – A₂
A = 156 – 50
A = 106 ≈ 100 square meters
Then the correct option is D.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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