After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the

Question

4 years ago

7

After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the

dimensions shown in the diagram.
A roofing company gave Mr. Serafina an estimate based on a cost of $2.75 per square foot to replace the roof. How much will it cost the Serafina family to have their roof replaced?

A $3,850

B $1,500

C $2,062.50

D $4,500

Plz help

Mathematics

1 answer:

Alenkinab [10] · Answer 1 · 2022-01-02T17:02:21+03:00

The roof is made up of 2 similar pieces of 2 rectangle shapes.

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Area of a rectangle = Length x Width
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Area of a rectangle = 50 x 14 = 700 ft²

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Area of 2 rectangle pieces:
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Area of 2 rectangle pieces = 700 x 2 = 1400 ft²

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Find the cost:
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1ft² = $2.75
1400 ft² = 2.75 x 1400
1400 ft² = $3850

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Answer: It will cost $3850 to have the roof replaced. (Answer A)
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