SOLUTION: The perimeter of a rectangle is 27 cm,and its area is 35 square cm.Find the length and then width of the rectangle.

Question 1054756: The perimeter of a rectangle is 27 cm,and its area is 35 square cm.Find the length and then width of the rectangle.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 27 cm,and its area is 35 square cm.Find the length and then width of the rectangle.
-----------
P = 2(L + W)
L*W = 35
---------------------------
L = (P/2)-W
--------
Substitute for "L" and solve for "W":
[(P/2)-W]W = 35
-----------------------------
W^2 - (27/2)W +35 = 0
----------------------------
W = [(27/2) +- sqrt[13.5^2 - 4*35]]/(2
----------------------------------------
W = [13.5 +- 6.5]
Width = 7 cm
---
Since L*W = 35, Length = 5 cm
--------------------------------
Cheers,
Stan H.
--------------

RELATED QUESTIONS
THE LENGTH OF A RECTANGLE IS 12 CM GREATER THAN ITS WIDTH. IF THE PERIMETER OF THE... (answered by josgarithmetic)

The length of a rectangle is 18 cm less than five times its width. Its area is 35 square... (answered by Timnewman)

The perimeter of a rectangle is 48 cm and its area is 135 cm^2. Find the length and the... (answered by ikleyn,greenestamps)

The lenghth of a rectangle is 3.5 cm longer than its width. The perimeter of the... (answered by waynest)

The length of a rectangle is 8 cm more than its width. If its perimeter is 56 cm, find... (answered by oscargut)

The dimension of a rectangle are 30 cm and 18 cm. when its length decreased by x cm and... (answered by richwmiller)

The length of a rectangle is 2 cm longer than its width. If the perimeter of the... (answered by ikleyn)

The length of a rectangle plus its width is 18 cm. The area is 80 square cm. what are the (answered by checkley77)

the length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are... (answered by Gogonati)