SOLUTION: An architect wants to draw a rectangle with a diagonal of 13 inches. The length of the rectangle is to be 2 inches more than twice the width. What dimensions should she make the
Algebra.Com
Question 732957: An architect wants to draw a rectangle with a diagonal of 13 inches. The length of the rectangle is to be 2 inches more than twice the width. What dimensions should she make the rectangle?
This should be easy but I haven't been able to get to the correct answer. Please help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the width. Then 
must represent the length.
The square of the width plus the square of the length equals the square of the diagonal -- Pythagoras said it, I believe it, that settles it.
So:
^2\ =\ 169)
Solve the quadratic for , discarding the negative root. Or save yourself some work by remembering that 13, 12, 5 is a Pythagorean triple.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of... (answered by MathLover1)
One side of a rectangle is seven more than the other. The length of the diagonal of the (answered by Alan3354)
A rectangle is 4 inches wide and 9 inches long what is the length of a diagonal of this... (answered by JBarnum)
The diagonal of a rectangle measures 10 inches. If the length is 2 inches more than the... (answered by solver91311)
The diagonal of a rectangle measures 10 inches. If the length is 2 inches more than the... (answered by ikleyn)
The diagonal of a rectangle measures 10 inches. If the length is 2 inches more than the... (answered by ikleyn)
The length of a rectangle is 7 inches more than its width. A diagonal of the rectangle is (answered by tommyt3rd)
find the area of a rectangle whose diagonal is 13 inches and width is 12... (answered by Seutip,MathTherapy)
The perimeter of a rectangle with width 10 inches and length 13 inches is (answered by farohw)
