SOLUTION: the length of a rectangle is greater than its width by 4 cm. if the perimeter of the rectangle is 80 ' FIND THE SIDES OF THE RECTANGLE.

Question 830868: the length of a rectangle is greater than its width by 4 cm. if the perimeter of the rectangle is 80 ' FIND THE SIDES OF THE RECTANGLE.

Found 2 solutions by JulietG, stanbon:
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
The perimeter is a fence around. It requires 2 lengths of fence + 2 widths of fence. (P = 2L + 2W)
You're given the following information:
P = 80
L = W + 4
Substitute the value for L in the original equation:
P (80) = 2(W+4) + 2W
Distribute
80 = 2W + 8 + 2W
Add the Ws
80 = 4W + 8
Subtract 8 from each side
72 = 4W
Divide each side by 4
18 = W
.
Since you know the width is 18, you can find the length by adding 4. 18+4=22
Let's make certain by putting in the values:
2(22) + 2(18) = 80
44 + 36 does indeed equal 80.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the length of a rectangle is greater than its width by 4 cm. if the perimeter of the rectangle is 80 ' FIND THE SIDES OF THE RECTANGLE.
--------------------
P = 2(L + W)
80 = 2(W+4 + W)
-------------------
40 = 2W+4
2W = 36
-------
Width = 18 cm
-----------------------
Length = W+4 = 22 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 4 cm more than twice its width. If the perimeter of the... (answered by sofiyac)
The length of a rectangle is 5 cm greater than its width. The perimeter is 106 cm. Find... (answered by Fombitz)
the length of a rectangle is 4 cm greater than its width. the perimeter is 32 cm. whats... (answered by Theo)
the perimeter of a rectangle is 112 cm. the length is 6 cm greater than 4 times the... (answered by TimothyLamb)
The width of a rectangle is 2/3 of its length. If the perimeter is 80 cm find its... (answered by TimothyLamb)
The length of a certain rectangle is 10 meters greater than twice its width. if its... (answered by checkley77)
the length of a rectangle is 12 cm greater than its width, the perimeter of this... (answered by Cromlix)
The length of a rectangle is 4 cm longer than its width. If the perimeter of the... (answered by jorel1380)