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Serjik [45]
3 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]3 years ago
7 0
The roof is made up of 2 similar pieces  of 2 rectangle shapes.

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

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

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

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