Question

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions of the flower bed?

A. 2 ft by 12 ft
B. 3 ft by 8 ft
C. 3 ft by 6 ft
D. 4 ft by 6 ft

Answer 1

3 ft by 8 ft

Explanation:

We were given the area as 24 square feet which means that

L×w= 24....eqn(1)

We were given the perimeter as 22 square feet which means that

22= 2(L +w).......eqn(2)

If we divide both cause by 2 in eqn(2) we have

11= L+ w .....eqn(3)

W= 11-L.........eqn(4)

Substitute eqn(4 into eqn(1)

L× (11-L)=24

-L^2 +11L-24=0

If we factorize

(L-8)(L-3)

L=3 or 8

From eqn4)

W=11-L

At L=3

W=11-3=8

Hence, the dimension is 3 ft by 8 ft