The perimeter of a rectangle is 120 inches. The length can be represented by (9x) inches and the width can be represented by (3x) inches. What is the length of the rectangle?
2007-07-29 13:51:27 · 4 answers · asked by Adrienne W 1 in Science & Mathematics ➔ Mathematics
Hi,
Since 2(L + W) = P then
2(9x + 3x) = 120
2(12x) = 120
24x = 120
x = 5
So the length of 9x equals 9x = 9(5) = 45" <== answer
The width wold be 3x = 3(5) = 15"
2(45 + 15 ) = 2(60) = 120, so it checks.
I hope that helps!! :-)
2007-07-29 13:54:14 · answer #1 · answered by Pi R Squared 7 · 0⤊ 0⤋
Perimeter= all sides added together
P=3x+3x+9x+9x
P=24x
you know that P=120in
so:
120=24x solve for x:
120/24=X X=5
substitute 5 in for length X:
9*5 =45inches
2007-07-29 20:57:38 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Perimeter Formula
P = 2L + 2W
let
9x = Length
3x = Width
120 = 2(9x) + 2(3x)
120 = 18x + 6x
120 = 24x
120 / 24 + 24x / 24
120 / 24 = x
5 = x
- - - - - - - - -- - - -
Since 9x = length
9(5) = 45
45 = length
- - - - - - - - -- - --
since width equals 3x
3(5) = 15
15 = Length
- - - - - - - -s-
2007-07-29 21:41:53 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋
The equation one uses to solve the perimeter of a rectangle is: P = 2L + 2W
120 = 2(9X) + 2(3X)
120 = 18X + 6X
120 = 24X
------ ------ (division bar)
24 24
X = 5
The length of the rectangle is 5 inches
2007-07-29 21:15:44 · answer #4 · answered by lovinghonestmother 1 · 0⤊ 1⤋