A restangular rug with a perimeter of 20 feet. The lenght of the rug is 4. What is thelenght of the rug?

Answer 1

If one of the "lengths" of the rug is a "width," I think this will help:

The perimeter of the rug is the outside edges of the rug. To find perimeter p of a rectangle, use the equation p = 2w + 2l . In this case, you will need to plug in the information you have (p and w) and then rearrange the equation to isolate the variable l in order to solve for l.

So...

p = 2w + 2l

20 = 2(4) + 2(l)

20 - 2(4) = 2(l)

(20 - 2(4)) / 2 = l

(20 - 8) / 2 = l

12 / 2 = l

6 = l

You can verify this answer by adding up each of the sides [written as (w + w + l + l) or (2w + 2l) and ensuring that the answer equals the value of the perimeter.

So...

p = (w + w + l + l)

20 = (4 + 4 + 6 + 6)...?

20 = 20

YES!

Hope that helps!

Answer 2

The formula to find the perimeter of a rectangle is

p= l+l+w+w

If the length is 4 and the perimeter is 20 we must plug in our given values to solve for the missing width of the rug. We know rectangles have two equal sides.

If P=20, and one length is 4 we can plug (substitute) our values into our formula:

p= l+l+w+w

20= 4+4+w+w ; where "w" represents the unknown value of the two width measurements

We combine like terms and solve for w!

20= 4+4+w+w

20= 8 + 2w

we subtract 8 from 20;

12= 2w

than we divide by 2 to isolate the variable "w" giving us 6.

Lets check our work:

20= 4+4+6+6

20= 8+12

20=20

The value of the widths is 6