Answer:
8,3
Step-by-step 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
[tex]11W-W^{2} =24[/tex]
[tex]W^{2} -11W+24=0[/tex]
(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
