A rectangular grassy plot is 112m by 78 m It has a gravel path 2 5m wide all round it on the inside ...........

Quantitative Aptitude ( CCS) Mensuration 2D

A rectangular grassy plot is 112m by 78 m. It has a gravel path 2.5m wide all round it on the inside. Find the area of the path and the cost of constructing it at `2 per square meter?

1850

1800

1580

1550

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Explanation:

A = lb – (l – 2a) (b – 2a)
= 112 × 78 – (112 – 5) (71 – 5)
=112 × 78 – 107 × 73 – 8736 – 7811 = 925 sq.m
∴ Cost of construction = rate × area = 2 × 925 = `1850