help?
The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.

Question

help?
The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.

mathstudent55 · Answer

Are you studying systems of equations?

meredith17 · Answer

"number problems"

mathstudent55 · Answer

Let L = length
Let W = width

Using L and W, can you write an equation that represents this sentence?
"The length of a rectangle is 3 times the width"

lapinblanc · Answer

Length is 3 times the width
L=3w
Perimeter=22
Perimeter formula is L+L+w+w
We replace our L with the above 3w and we know perimeter is 22:
So
3w+3w+w+w=22
8w=22
Divide out the 8 by both sides
w=2.75
We reuse L=3w to find L
L=3*w
L=3*2.75
L=8.25

So
w=2.75
L=8.25
to confirm, you can put it back into perimeter formula to make sure equals 22
2.75+2.75+8.25+8.25=22

meredith17 · Answer

thanks both of you!!!

meredith17 · Answer

i filled it all back in and got 22