SOLUTION: The perimeter of a rectangle is 68 cm.If the diagonal is 26cm,find the dimensions of the rectangle.What would the equation be for this?

Question 1004187: The perimeter of a rectangle is 68 cm.If the diagonal is 26cm,find the dimensions of the rectangle.What would the equation be for this?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
L+W=34 (half the perimeter)
L=34-W
Pythagorean theorem
W^2+(34-W)^2=26^2
W^2+W^2-68W+1156=676; 2W^2-68W+480=0
2(W^2-34W+240)=0, factoring 2.
(W-24)(W-10)=0
W=24 or 10. One is length, 24 cm, the other width, 10 cm.
The perimeter is 68 cm.
The square of 24 (576) and 10 (100)= square of diagonal, 26, cm, (676)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x and y dimensions, d diagonal.

Let d=26.

-
--------this can basically be the equation you want. You can simplify it and solve for x, and then use this to solve for y.

------now simplified, quadratic equation

Discriminant, .

, which would show BOTH dimensions x AND y.

------------------------------------
Dimensions would be 10 and 24.
------------------------------------
RELATED QUESTIONS
The perimeter of a rectangle is 68cm. If the diagonal is 26cm, find the dimensions of the (answered by oberobic)
The diagonal of a rectangle measures 26cm. R+The width is 24cm, find the... (answered by jorel1380)
The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are... (answered by Fombitz)
The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are... (answered by solver91311)
If AD=(x+6)cm, AB=5cm and the perimeter of ABCD is 26cm, find the area of rectangle... (answered by checkley77)
The width of a rectangle is five less than twice the length. The perimeter of the... (answered by edjones)
the perimeter of a rectangle is 26cm. the length is 8cm. what is its... (answered by richwmiller)
The perimeter of a rectangle is 68 cm. The length of four cm more than the width. Find... (answered by rfer)
the perimeter of a rectangle is 68 cm. the length is 4 cm more than its width. find the... (answered by amfagge92,MathTherapy)