the length of a rectangular garden is 7 feet more than its width the area of the garden is 228 square feet what are the length and the width of the garden
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the length of a rectangular garden is 7 feet more than its width the area of the garden is 228 square feet what are the length and the width of the garden
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Answer:
The length is 19 ft, while the width is 12 ft
Step-by-step explanation:
A = WL
Given that: A = 228, L = W + 7
228 = W(W+7)
228 = W² + 7W
W² + 7W - 228 = 0
Factor W² + 7W - 228
(W - 12)(W + 19)
W = 12, W = -19.
The width of a rectangle cannot be negative.
W = 12.
Now lets find the length
L = W + 7
Substitute the value of W.
L = 12 + 7
L = 19
∴ The length of the rectangular garden is 19 feet and the length of the width of the garden is 12 feet.
#CarryOnLearning
Verified answer
Answer:
L=19, w=12
Step-by-step explanation:
Let l is length
W is width
L=7+w
A= l x w
Then,
228= (7+w) (w)
228= w2+7w
W2+7w-228=0
(W+19)(w-12)=0
W= 12,-19
Use 12 because it is postive
So,
W=12
L=19
#Sana Nakatulong :)