Question

a rectangular lawn measuring 50 m by 35 m is surrounded externally by a path which is 2 m wide. find the cost of turning the path at the rate of Rs 3 per m2

Answer 1

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Answer 2

Question:-

a rectangular lawn measuring 50 m by 35 m is surrounded externally by a path which is 2 m wide. find the cost of turning the path at the rate of Rs 3 per m²

solution:-

Let, L be the length of rectangle and B be

the breadth rectangle.

By Question:-

We know formula of

=> Area of rectangle = L × B

=> Area of rectangle = 50 × 35

=> Area of rectangle = 1750 m²

=> X = 1750 m²

we know that length and breadth increase by 2 m from their both ends.

so,

=> L = 50 + 2 + 2 = 54 m.

=> B = 35 + 2 + 2 = 39 m.

We know formula of

=> Area of rectangle + path = L × B

=> Area of rectangle + path

= 54 × 39

=> Area of rectangle + path

= 2106 m²

=> Z = 2106 m²

=> Area of path =( Z ) - ( X )

=> Area of path = 2106 - 1750

=> Area of path = 356 m²

Area of path 336 m².

For Finding cost of Path

=> Area × Rs 3 = 356 × 3 = Rs 1068

Hence cost of path is Rs 1068

i hope it helps you.