SOLUTION: The length of a rectangle is 7 feet more than its width. The diagonal of the rectangle is 13 feet. Find the dimensions of the rectangle.

Algebra.Com
Question 1131888: The length of a rectangle is 7 feet more than its width. The diagonal of the rectangle is 13 feet. Find the dimensions of the rectangle.
Found 2 solutions by ikleyn, joshuajz:
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Use the Pythagorean theorem to get an equation


w^2 + (W+7)^2 = 13^2.


Then solve this equation to find the width of the rectangle.


Answer by joshuajz(12)   (Show Source): You can put this solution on YOUR website!
The first thing I'd do is create a drawing.

Next you need to know the equation of the diagonal of a shape (The Pythagorean theorem):

Meaning we can now write an equation to solve for x



Since this is in standard form and equal to 0 we can use the quadratic formula:

Therefore:
OR
Since a side length cannot be negative, we can "Throw away" the
Therefore: x = 5
Meaning the dimensions of the rectangle are 5 x 12
RELATED QUESTIONS

The length of a rectangle is 7 feet more than its width. The length of a diagonal of the... (answered by ewatrrr)
The length of a rectangle is 2 feet more than its width. Find the dimensions of the... (answered by Alan3354)
The length of a rectangle is 5 feet more than twice its width. Find the dimensions of the (answered by algebrahouse.com)
If the length of a rectangle is 3 feet longer than its width and the diagonal is (answered by solver91311)
The length of a rectangle is 11 more than twice its width. The perimeter of the rectangle (answered by hamsanash1981@gmail.com)
The length of a rectangle 3 feet more than three times its width. The diagonal of the... (answered by jorel1380)
The diagonal of a rectangle is 2 ft longer than its length and 5 feet longer than its... (answered by MathLover1,edjones)
the length of a rectangle is 5 more than twice it's width. its perimeter is 88 feet.... (answered by Alan3354)
the perimeter of a rectangle is 114 feet. Its length is three more than twice its width. (answered by robertb)