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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​

Sagot :

ONEKPHGO

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 :)

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.

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