If the area the a garen in 72 square feet, what space the dimensions of she garden. Keep in mind that the perimeter is 36.

You are watching: 72 square feet what are the dimensions

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OK...... Us have

Area =L x W = 72 and Perimeter = 2(L + W) = 36

Working with the Perimeter and dividing by 2 on each side...... We have

(L + W ) = 18 Now, subtract W native both sides......we have

L = 18 - W and also substituting for L in the area equation, us have

(18- W) x W = 72 or 18W - W2 = 72 ... Add W2 to both sides and subtract 18W native both sides

This provides 0 = W2 - 18W + 72

And factoring the best side we have actually 0 = (W-6) (W-12)

And setting each factor to 0 we gain W = 6 or W = 12

So, relying on your orientation, one of two people

Either way, the garden is 6ft through 12ft

CPhill May 12, 2014

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+121048

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ideal Answer

OK...... Us have

Area =L x W = 72 and Perimeter = 2(L + W) = 36

Working v the Perimeter and also dividing by 2 on every side...... We have

(L + W ) = 18 Now, subtract W from both sides......we have

L = 18 - W and also substituting for L in the area equation, us have

(18- W) x W = 72 or 18W - W2 = 72 ... Include W2 come both sides and subtract 18W native both sides

This offers 0 = W2 - 18W + 72

And factoring the right side we have actually 0 = (W-6) (W-12)

And setup each element to 0 we obtain W = 6 or W = 12

So, depending on your orientation, one of two people

Either way, the garden is 6ft through 12ft

CPhill May 12, 2014

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