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A rectangular plot 20 m long and 14 m wide is to be covered with grass leaving 2 m all around. Find the area to be laid with grass.

Mensuration

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Answer

Consider ABCD as a plot.

A rectangular plot 20 m long and 14 m wide is to be covered with grass leaving 2 m all around. Find the area to be laid with grass. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

Length of plot = 20 m and breadth of plot = 14 m.

Let PQRS be the plot to be covered with grass.

From figure,

PQ = 20 - (2 × 2)

= 20 - 4

= 16 m

QR = 14 - (2 × 2)

= 14 - 4

= 10 m

Area of rectangular plot PQRS = length × breadth

Substituting the values we get,

Area = 16 × 10 = 160 m2.

Hence, area to be laid with grass = 160 m2.

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