SOLUTION: If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, then what are the length and the width?
Algebra.Com
Question 246670: If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, then what are the length and the width?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x^2+(x+3)^2=15^2
x^2+x^2+6x+9=225
2x^2+6x+9-225=0
2x^2+6x+216
2(x^2+3x-108)=0
2(x-9)(x+12)=0
x-9=0
x=9 ans.
9+3=12 ans.
Proof:
9^2+12^2=15^2
81+144=225
225=225
RELATED QUESTIONS
If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, (answered by vleith)
If the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet, (answered by nerdybill)
If the length of a rectangle is 3 feet longer than the width and
the diagonal is 15... (answered by Greenfinch)
If the length of a rectangle is 3 feet longer than the width and
the diagonal is 15... (answered by vleith)
if the length of a rectangle is 3 feet longer than the width and the diagonal is 15 feet... (answered by nycsub_teacher)
28.) If the length of a rectangle is 3 feet longer that the width and the diagonal is 15... (answered by Mathtut)
If the length of a rectangle is 3 feet longer than the width and the diagonal is 5 feet,... (answered by ankor@dixie-net.com)
If the length of a rectangle is 3 feet longer than its width and the
diagonal is (answered by solver91311)
A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer... (answered by Fombitz)