Answer:
Length = 34
Width = 12
Step-by-step explanation:
Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.
The length of a rectangular garden is 22 feet longer than its width: L=W+22
The area of the garden is 408 square feet: A=LW=408
SubW+22 in for L in the equation LW=408 :
LW=408
(W+22)W=408
[tex]W^{2}[/tex]+22W-408=0
(W-12)(W+34)=0
So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.
L=W+22=12+22=34. The length of the garden is 34feet.
