the cost of constructing a boundry wall around a rectangular plot is ₹20480,at the rate of₹40 per metre. find length if its breadt

GIVEN THAT

Total cost of constructing the boundary wall around the plot = Rs 20480

Cost of constructing the boundary

per metre = Rs 40

And, breadth of plot = 16 m

TO FIND

Length of the rectangular wall.

FORMULA USED

Perimeter of rectangle = 2(L + B)

SOLUTION

Perimeter of rectangular plot =

• =) 20480

40

• =) 512

So, perimeter of rectangular plot

is 512 m

NOW,

We know, perimeter of rectangular plot

= 2 (L + B)

The breadth of plot is 16 m.

• 2(L + 16) = 512
• 2L + 32 = 512

• 2L = 512 – 32
• 2L = 480

• L = 480

2

• L = 240

So, length of the rectangular plot

is 240 m

PROVE

Perimeter of rectangle = 2(L + B)

• 2(240 + 16) = 512
• 2 × 256 = 512

• 512 = 512

HENCE PROVED

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