# Chauncey

Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chanuncy wants to buy a triangular shaped cover for the bench.

If the storage bench is 2 1/2 ft. Along one wall and 4 1/4 ft. Along the other wall, how big will the cover have to be to cover the entire bench?

Result

A =  5.313 ft2

#### Solution:

$a = 2 + \dfrac{ 1 }{ 2 } = \dfrac{ 5 }{ 2 } = 2.5 \ ft \ \\ b = 4 + \dfrac{ 1 }{ 4 } = \dfrac{ 17 }{ 4 } = 4.25 \ ft \ \\ \ \\ A = \dfrac{ 1 }{ 2 } \cdot \ a \cdot \ b = \dfrac{ 1 }{ 2 } \cdot \ 2.5 \cdot \ 4.25 = \dfrac{ 85 }{ 16 } = 5.3125 = 5.313 \ ft^2$

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