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A rectangular plot 30 m long and 18 m wide is to be covered with grass leaving 2.5 m all around it. Find the area to be laid with grass.

Mensuration

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Answer

A rectangular plot 30 m long and 18 m wide is to be covered with grass leaving 2.5 m all around it. Find the area to be laid with grass. ARC Properties of Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

ABCD is a rectangular plot and PQRS is an area that has to be laid with grass.

Given,

Length of plot = AD = BC = 30 m

Width of plot = AB = CD = 18 m

From figure,

PQ = AB - 2.5 - 2.5 = 18 - 5 = 13 m

PS = BC - 2.5 - 2.5 = 30 - 5 = 25 m

Area of the rectangle PQRS that has to be laid with grass = length × breadth

= PS × PQ

= 25 × 13

= 325 m2.

Hence, area to be laid with grass = 325 m2.

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