Question

Daniel made a bench that has a seat with an area of 16 square feet. 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?

Answer 1

dimensions of the seat are 2 feet and 8 feet

Explanation:

given data

area = 16 square feet

length = 4 times greater than the width

solution

we know that area is express as

Area = L × W .................1

here L is length and W is width

put here value we get

16 = L × W ...............2

and we know

L = 4W ( as given ) ...............3

so put that in equation 2 we get

16 = 4W × W

4W² 16

solve it we get

W = 2

so here put this value in equation 3 we get

L = 4 × 2

L = 8

so the dimensions of the seat are 2 feet and 8 feet