# Daniel made a bench that has a seat with an area of 16 square ft the length and the width of the seat are whole numbers the length is 4 times greater than the width what are the dimensions of the seat select the length and width A. 2 ft B. 4 ft C. 6 ft D.8 ft E.16 ft

1 answer

###### Question:

daniel made a bench that has a seat with an area of 16 square ft the length and the width of the seat are whole numbers the length is 4 times greater than the width what are the dimensions of the seat select the length and width A. 2 ft B. 4 ft C. 6 ft D.8 ft E.16 ft

## Answers

Answer: The width is option (A) 2 ft and the length is option (D) 8 ftStep-by-step explanation: The bench has been constructed and we have been given the area as 16. So we already know thatArea = L x W16 = L x WAlso we have been given that the length is 4 times greater than the width. This means if the width is W, then the length would be 4 time W, which is 4W.Therefore, having known the area as 16 square feet, the equation becomes;16 = 4W x W16 = 4W²We add the square root sign to both sides of the equation and we have√16 = √4W²4 = 2WDivide both sides of the equation by 2,2 = WWith the width now known as 2 ft, the length which had been determined as 4W now becomesLength = 4(2)Length = 8Therefore, the length is 8 ft, and the width is 2 ft.

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