Question

a school wants to build a rectangular playground that will have a diaonal length of 75 yards. how wide can the playground be if the lenght has to be 30 yards

Answer 1

You would use the Pythagorean Theorem.
a2 + b2 = c2
302 + x2 = 752
900 + x2 = 5625
900 – 900 + x2 = 5625
X2 = 5625
√(x^2 ) = √5625
X = 75
It is 75 yards wide. I've included a drawing of the rectangle if it helps.