SOLUTION: A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x? Give the exact solution or round your answe
Algebra.Com
Question 969126: A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x? Give the exact solution or round your answer to the nearest tenth
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangle has a width of 3.5 inches and a length of x inches. If the diagonal of the rectangle is 12.5 inches, what is the value of x? Give the exact solution or round your answer to the nearest tenth
-----
Draw the picture.
You have a rectangle with width = 3.5 and length = x
The diagonal is the hypotenuse of of the triangle
formed by the width and the length.
Use Pythagoras to solve::
12.5^2 = x^2 + 3.5^2
x^2 = 144
x = 12 inches
------------------
Cheers,
Stan H.
--------------
RELATED QUESTIONS
A rectangle has dimensions of 12 inches long and 5 inches wide. What is the length of... (answered by rfer)
If a rectangle has a diagonal of 22 inches and a width of 18 inches, how long is the... (answered by london maths tutor)
The diagonal of a rectangle is 17 inches. If the length of the rectangle is 15 inches,... (answered by math-vortex)
Find the diagonal of a rectangle whose length is 8 inches and whose width is 5... (answered by stanbon)
What is the perimeter of a rectangle having a diagonal of 13 inches and a width of 5... (answered by mananth)
a rectangle has a width of 5 inches and a length of 7 inches. If both its length and... (answered by gurjit747)
Find the length of the diagonal of a rectangle whos length is 12 inches and width is 7... (answered by solver91311)
Find the length of the diagonal of a rectangle whose length is 12 inches and width is 7... (answered by reviewermath)
The length of a rectangle is 2 inches less than twice the width. The diagonal is 5... (answered by Alan3354,nerdybill)
find the area of a rectangle whose diagonal is 13 inches and width is 12... (answered by Seutip,MathTherapy)