Question

The area of a bedroom door is 24 square feet. The perimeter is 22 feet. What are the dimensions of the door?​

Answer 1

8,3

Explanation:

The Bedroom is in the Shape of Rectangle

Area of Rectangle = LW

Perimeter of Rectangle = 2(L+W)

Since the Area = 24

Then LW=24 --->1

Since the Perimeter = 22

Then 2(L+W)=22, Then L+W=11 --->2

Substitute by L=11-W from Equation 2 into Equation 1

(11-W)*W=24

`11W-W^(2) =24`

`W^(2) -11W+24=0`

(W-3)(W-8)=0

W=3 or W=8

Substitute in Equation 1 to Find L

at W=3 , L=24/3=8

at W=8 , L=24/8=3

so the Dimension of the Door is 8 and 3 feet