A square garden $10$ feet long needs to be surrounded by a walk of $2$ feet wide on only three of its sides. What is the area of the walk?

55

sq. ft

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58

sq. ft

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68

sq. ft

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70

sq. ft

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Solution

The correct option is B $68$ sq. ft
Total area of garden $=$ $s i d e^{2}$
Therefore total area of area $=$ $10^{2} = 100$
If we consider the walk way(along with garden), which is nothing but the rectangle with dimensions $12$ and $14$ respectively
Its total area=length $\times$ Breadth
Therefore= $12 \times 14$ $=$ $168$ ft
Total area of the walk $=$ Total area - Total area of garden
= $168 - 100 = 68$ sq ft

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A square garden 10 feet long needs to be surrounded by a walk of 2 feet wide on only three of its sides. What is the area of the walk?

A square garden $10$ feet long needs to be surrounded by a walk of $2$ feet wide on only three of its sides. What is the area of the walk?