The length of the rectangle is 3 three time its width. If the perimeter is 112 what are the dimenions of the rectangle?
2006-10-04 12:15:09 · 5 answers · asked by dorkified at heart 1 in Education & Reference ➔ Homework Help
112 halved = 56
56 divided by 4 = 14
14 x 3 = 42
length = 42, width = 14
2006-10-04 12:17:50 · answer #1 · answered by Anonymous · 1⤊ 0⤋
divide 112 / 8 this gives you equal measurements, based on the width. so the width is 14 x 3 gives you the length :)
The equal measurements are determined by since there are two width ends of a rectangle and two lengh sides 3 times the widths value. Therefore finding equal measurements provide the simplest solution. The perimeter is all sides measured and added together.
2006-10-04 19:24:14 · answer #2 · answered by Jamie L 2 · 0⤊ 0⤋
Width = x
Length = 3x
Perimeter = 2 times the length + 2 times the width
2(x) + 2(3x) = 112
2x + 6x = 112
8x = 112
x= 14
Width = 14
Length = 3 times 14 = 42
2006-10-04 19:18:42 · answer #3 · answered by Devin 2 · 1⤊ 0⤋
It's always easier to draw a picture when it comes to word problem with shapes.
Let the width by w and the length will be 3w.
perimeter = 2 (w + 3w) = 112
Solve the above equation, and you will find out w. Hence, multiply that answer by 3 to get the length.
2006-10-04 19:20:00 · answer #4 · answered by Isaac 2 · 0⤊ 0⤋
The easiest way to do this is set the short side as 'x' and the long side as '3x'.
x+3x=112/2
The short side plus the long side is half of the perimeter so you have to divide the perimeter by 2.
4x=56
x=14
3x=42
the dimensions of your rectangle are 14 by 42.
2006-10-04 19:31:05 · answer #5 · answered by Ted O 1 · 0⤊ 0⤋