Question 444371
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^2+(x+8)^2=40^2}}}, setting 

to zero and solving this quadratic equation:{{{2x^2+16x-1536=0}}} or

{{{x^2+8x-768=0}}},we get x=24.

Answer: The dimensions of the rectangle are 24cm, and ,24+8=32cm.