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 186849: 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 vleith(2983) (Show Source): You can put this solution on YOUR website!
Let width be w. Then Length is (w+3)
pythagorean theorem
w = 9 or w = -12. Since a width cannot be negative, then w = 9. And length = 12
Notice the triangle formed by width:length:diagonal is in the ration 3:4:5 -- a common ratio for right triangles and one you would do well to 'recognize on sight'.
RELATED QUESTIONS
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 feet, (answered by checkley77)
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)