SOLUTION: The longer side of a rectangle is three times the length of the shorter side if the diagonal is 22 cm find the dimensions of the rectangle and the area of the rectangle

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The longer side of a rectangle is three times the length of the shorter side if the diagonal is 22 cm find the dimensions of the rectangle and the area of the rectangle       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1120903: The longer side of a rectangle is three times the length of the shorter side if the diagonal is 22 cm find the dimensions of the rectangle and the area of the rectangle

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions x and 3x


x%5E2%2B%283x%29%5E2=22%5E2

10x%5E2=484

5x%5E2=242

x%5E2=242%2F5

x=sqrt%282%2A11%5E2%2F5%29

x=11%2Asqrt%282%2F5%29

x=%2811%2F5%29sqrt%2810%29


Dimensions:
system%28%2811%2F5%29sqrt%2810%29+%2CAND%2C%2833%2F5%29sqrt%2810%29%29