SOLUTION: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph thanks in advance!!!

Algebra.Com
Question 1160194: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph
thanks in advance!!!

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The equation is


    x^2 + (x+7)^2 = 73^2.


Instead of formal solving, I look into the table of the Pythagorean triples


https://en.wikipedia.org/wiki/Pythagorean_triple


and I quickly find there the triple  (48,55,73)  with the diagonal of 73, which satisfies all conditions.     ANSWER

Solved.


RELATED QUESTIONS

the length of a rectangle is 7 inches longer than twice the width. What are the diemsions (answered by nyc_function)
The length of a rectangle is 1cm longer than its width. If the diagonal of the... (answered by Nate)
The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle (answered by jorel1380)
Please help me The with is a rectangle is 5m and the length of its diagonal is 13 cm... (answered by jim_thompson5910)
The length of a rec is 3 more than twice the width. What are the dimensions if the... (answered by oberobic)
The perimeter of a rectangle is 42cm.The width is 7cm less than the length. Find the... (answered by addingup)
the width of a rectangle is 2 units less than its length. if the diagonal of the... (answered by HyperBrain)
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)