# 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:

$a=2 + \dfrac{ 1 }{ 2 }=\dfrac{ 5 }{ 2 }=2.5 \ \text{ft} \ \\ b=4 + \dfrac{ 1 }{ 4 }=\dfrac{ 17 }{ 4 }=4.25 \ \text{ft} \ \\ \ \\ A=\dfrac{ 1 }{ 2 } \cdot \ a \cdot \ b=\dfrac{ 1 }{ 2 } \cdot \ 2.5 \cdot \ 4.25=\dfrac{ 85 }{ 16 }=5.3125=5.313 \ \text{ft}^2$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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