# 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:

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

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