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A rectangle lawn measuring 25m by 16m is to be surrounded externally by a path which is 3m wide calculate the cost of leveling it Rs. 3.50 per Sq/m

Posted by Soumya Soumya 2 years, 11 months ago

CBSE > Class 08 > Mathematics

1 answers

Preeti Dabral 2 years, 11 months ago

Given : Length of the rectangular lawn = 25 m

Breadth of the rectangular lawn = 16 m

If lawn is surrounded externally by a path which is 3 m wide. , then length of the path l= 25 m+2(3) m = 31 m

Width of the path b= 16 m +2(3m) = 22 cm

Area of path = l x b - (Area of lawn)

= 31 x 22 - (25 x 16) [area of rectangle = length x breadth]

=682 -400 = 282 sq. m

Rate of levelling = 3.50 per m square

Then, Cost of leveling = (Rate of levelling ) x (Area of path)

= 3.50 x (282)= Rs 987

Hence, the cost of leveling is Rs 987.

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