SOLUTION: one side of a rectangle is 8 cm more than the other. If the diagonal of the rectangle is 40 cm, find the dimensions of the rectangle

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Question 444371: one side of a rectangle is 8 cm more than the other. If the diagonal of the rectangle is 40 cm, find the dimensions of the rectangle
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
Lts the width x cm, then the length will be: x+8 cm.Since the diagonal is 40 cm
using Pythagorean theorem we write the equation:x%5E2%2B%28x%2B8%29%5E2=40%5E2, setting
to zero and solving this quadratic equation:2x%5E2%2B16x-1536=0 or
x%5E2%2B8x-768=0,we get x=24.
Answer: The dimensions of the rectangle are 24cm, and ,24+8=32cm.