The length of a rectangular garden is 22 feet longer than its width. If the area of the garden is 408 square feet, what are the

Question

2 years ago

15

dimensions of the garden?
Length=
Width=

2 answers:

KengaRu [80] · Answer 1 · 2022-07-15T14:10:18+03:00

6 0

Answer:

Length = 34 ft

Width = 22 ft

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OLga [1] · Answer 2 · 2022-07-15T15:15:23+03:00

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

$W^{2}$ +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.