Question

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

Answer 1

area of rectangular plot = 112*78
=8736 m²
it has gravel path so, length = 112-2.5-2.5
=107m
breath = 78-2.5-2.5=73m
l*b= 107*73
=7811m²
area of path = 8736-7811
=925
cost of constructing = 925*2
= 1850 Rs


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Answer 2

The area of the path is 925 square meter.

The cost of constructing it at Rs. 2 per square meter is Rs. 1850.

Rectangular area

The formula to find the area of rectangle depends on its length and width. The area of a rectangle is calculated in units by multiplying the width (or breadth) by the Length of a rectangle.

Area of rectangle = Length x Breadth

Area of rectangle = l x b

Area of grassy  plot path not constructed = 112 x 78 = 8736 square meter.

Area of  grassy plot path constructed  = 107 x 73  = 7811 square meter.

Area of   path constructed = 8736 - 78711 = 925 square meter.

The cost of constructing Path = 925 x 2 = Rs 1850

Thus, The area of the path is 925 square meter.

The cost of constructing it at Rs. 2 per square meter is Rs. 1850.

Learn more about area of rectangle  here,

https://brainly.in/question/28136612?msp_poc_exp=1

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