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

Answer 1

Answer: The width is option (A) 2 ft and the length is option (D) 8 ft

Step-by-step explanation: The bench has been constructed and we have been given the area as 16. So we already know that

Area = L x W

16 = L x W

Also 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 W

16 = 4W²

We add the square root sign to both sides of the equation and we have

√16 = √4W²

4 = 2W

Divide both sides of the equation by 2,

2 = W

With the width now known as 2 ft, the length which had been determined as 4W now becomes

Length = 4(2)

Length = 8

Therefore, the length is 8 ft, and the width is 2 ft.