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?
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) ---------------------------------------------------------------------------------------------
