Question

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

Answer 1

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Answer 2

Consider ABCD as a rectangular garden

Length = 10 m

Breadth = 16 m

So the area of ABCD = l × b

Substituting the values

= 10 × 16

= 160 m2

Consider x m as the width of the walk

Length of rectangular garden PQRS = 10 – x – x = (10 – 2x) m

Breadth of rectangular garden PQRS = 16 – x – x = (16 – 2x) m

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