A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 meters, assuming the width to be x, form an equation in x and solve it to find the value of x.

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A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 meters, assuming the width to be x, form an equation in x and solve it to find the value of x.

April 26, 2017Algebra Education Mathematicsalgebra Education Mathematics

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Abhishek Das Posted

A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 meters, assuming the width to be x, form an equation in x and solve it to find the value of x.

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score 0 · Answer 1 · 2016-04-23T13:53:06+00:00

(10x *2 ) +(16x *2) +4x^2 =120

4x^2 + 52x -120=0

x^2+13x-30=0

x= -15 or 2

since x cannot be negative, therefore x=2

A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 meters, assuming the width to be x, form an equation in x and solve it to find the value of x.

6 Answers

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