Can you help me with this math problem?
I know.. anyone could probably do this.
"A rectangular Persian carpet has a perimeter of 176 inches. The length of the carpet is 22 inches more than the width. What are the dimensions of the carpet?"
-It's been a while since I had to do this crap. Be nice.
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May 15th, 2010 at 2:07 am
perimeter just means distance around the edges, so
length + length + width + width = 176
since length is 22" more than width just put width + 22 in place of length to get
width + 22 + width + 22 + width + width = 176
or
4* width + 44 = 176
subtract 44 from both sides
4*width = 132
divide both sides by 4 to get
width = 33
I think you can get the length from here.
May 15th, 2010 at 2:07 am
Formula for perimeter:
2 times length + 2 times width
Let the width = x. This means that the length is 22 + x.
Plug that into the equation:
176 = 44 + 2x + 2x
Simplify: 132 = 4x
So x = 33
Therefore, the width is 33 inches, and the length is 55 inches.
May 15th, 2010 at 2:07 am
width =
x + (x+22) = 176 / 2
x + x = 88 - 22
2x = 66
x = 33
33 width
55 length
May 15th, 2010 at 2:07 am
perimeter is 2l+2w=P
if P=176 and l=(22+w)
2(22+w)+2w=176
44+4w=176
4w=132
w=33
l=22+33=55
the width of the carpet is 33 and the length is 55
May 15th, 2010 at 2:07 am
i was about to solve this but, the above seems right to me
May 15th, 2010 at 2:07 am
ok you need to solve it by drawing a rectangle and one one side put x then on the other side put x+22
so your problem is: x+x+22=176
minus 22 from both sides so you get : 2x=154
divide both sides by 2: x=77
therefore, the width is 77 and the length is 99
hope this helps, good luck!
May 15th, 2010 at 2:07 am
l+w+l+w=perimeter
l=(22+w)
w=w
44+2w+2+2=176
2w=176-2-2-44
2w=128
w=128/2
*w=64*
l=22+64
*l=86*
Therefore the length is 86 inches and the width is 64 inches.
I’m Sorry if it’s wrong, but i’m pretty sure this is how it’s done.
May 15th, 2010 at 2:07 am
Let the width be X, the length will be X+22. The perimeter will be the sum of 2 lengths
and 2 widths, or 4X+44. If 4X+44=176, 4X = 132 X=33 so the carpet is 33×55
May 15th, 2010 at 2:07 am
Set up a rectangle. Opposite sides of the carpet have a value of x. The other pair have a value of x+22, since it’s 22 inches longer than x. Combine like terms to get 4x+44 = 176. Subtract 44 from both sides to get 132. Use a calculator to find x = 33. So the value of the one pair is each 33 inches, and the other pair is 33+22 inches, or 55 inches, each.
EDIT: Wow. A lot of replies right there.
May 15th, 2010 at 2:07 am
set ur equation up like this: L=W+22 P=176
2(W+22)+2W=176
2W+44+2W=176
4W=132
W=33
so L=55