SOLUTION: A rectangle has a perimeter of 34in and has an area of 60 in. What is the length of the diagnol of the rectangle? A. 12 in. B. 13 in. C. 15 in. I know the answer is B. 13

Algebra.Com
Question 620556: A rectangle has a perimeter of 34in and has an area of 60 in. What is the length of the diagnol of the rectangle?
A. 12 in.
B. 13 in.
C. 15 in.
I know the answer is B. 13 in. however I do not know how to reach that answer

Found 2 solutions by jim_thompson5910, ewatrrr:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The perimeter is 34, so 34 = 2L+2W or L+W = 17. Solve for L to get L = 17-W

The area is 60, so 60 = LW. Plug in L = 17-W to get

60 = (17-W)W

Now solve for W. Then use this solution for W to find L.

Once you have L and W. Plug them into the formula

D = sqrt( L^2 + W^2 )

to find the length of the diagonal D
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

A rectangle has a perimeter of 34in and has an area of 60 in.

 P = 2l + 2w = 34in

      l + w = 17

         l = 17-w

   w(17-w) = 60 in^2

    w^2 -17w + 60 = 0

  factoring

 (w - 12)(w - 5) = 0

     W = 5 or 12 and L = 5 or 12

 D =   throwing out the negative solution for unit measure 

RELATED QUESTIONS


A rectangle has a length of 80in and a width of 34in. What is it's... (answered by rfer)

A rectangle has perimeter 34 in. and has an area of 60 in2. What is the diagonal of the... (answered by solver91311)

The length of a rectangle is 2 in. more than twice its width.  If the perimeter of the... (answered by Nate)

The length of a rectangle is 2 in. more than twice its width. If the perimeter of the... (answered by uma)

if a rectangle has an area of 60 in and a perimeter of 38 in, what is the length and... (answered by Fombitz)

What is the perimeter of a rectangle that has an area of 36in2, and a length of 9... (answered by dexman_92,Alwayscheerful)

A rectangle has sides 3 and 4.Find the length of the... (answered by mananth)

A rectangle has an area of 196 m2 and a minimum perimeter. What is the length of the... (answered by Alan3354)

rectangle has a length of 12 what is the width if the perimeter is 60 units
 (answered by tutoringisfun)