Question

A rectangular garden is 6 feet by 4 feet. There is a sidewalk of uniform width around the garden. The area of the sidewalk and the garden together is 48 ft2. What is the width of the sidewalk?

Answer 1

Answer:

A rectangular garden is 6 feet by 4 feet.

Let sidewalk width be x feet

New length and width of garden including sidewalk width

Length = 6 + 2x

Width = 4 + 2x

Area of sidewalk and garden together is 48

Area of rectangular = L x W

           (6+2x)(4+2x) = 48

4x²+20x+24=48

x²+5x-6=0

(x+6)(x-1)=0

x=-6,1

We will ignore negative 6 because width can't be negative

Hence, The width of sidewalk is 1 feet

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Answer 2

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