Question

The length of a rectangle ground exceeds its breath by 17 m If the perimeter of the ground is 178 m, find the diameter of the ground

Answer 1

Length 53
Breadth 36

Answer 2

Answer:

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Let the breadth of the park be = x meters

Then the length of the park = x+17 meters

Perimeter of the park = 2 (length + breadth)

= 2 (x + 17 + x) meters

= 2 (2x + 17) meters

But it is given that the perimeter of the rectangle is 178 meters.

$2(2x + 17) = 178 \\ 4x + 34 = 178 \\ 4x = 178 - 34 \\ 4x = 144 \\ x = \frac{144}{4} = 36$

Therefore breadth of the park = 36 meters

Length of the park = 36+17 = 53 meters.