Question

A school wants to build a rectangular playground that will have a diagonal length of 75 yards. How wide can the playground be if the length has to be 30 yards?

Answer 1

We should use Pythagorean's theorem. a² + b² =c²

Explanation:

a² + b² = c²

75² = 30² + b²

5625 = 900 + b²

5625 - 900 = b²

4725 = b²

`√(4725)` =
`√(b)`

68.73863542 = b

b = 68.74

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Answer 2

A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. By using the Pythagorean Theorem, we can calculate the width. We do as follows:

c^2 = a^2 + b^2
a = sqrt( c^2 - b^2 )
a = 68.74 yards