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Bunuel
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Alexey1989x
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The width of a rectangular playground is 75 percent of length"
W = 0.75L

"the perimeter of the playground is 280 meters"
2W + 2L = 280
W + L = 140
0.75L + L = 140
L = 140/1.75 = 80
W = 60
diagonal = √(L² + W²) = 100 meters
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W = 0.75L
Perimeter of a rectangle = 2 * (L + W)

So 2 * (L + 0.75L) = 280 ==> L = 80 & W = 0.75 * 80 = 60

The path represents the diagonal of a rectangle that can be found applying the Pythagorean Theorem:

Length of diagonal path = √((80)^2 + (60) ^2) = 100

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