Question

A carpet has a rectangular measure of 10 feet for the length and w feet for the width. If the perimeter is the sum of all four sides, then write an expression that represents the perimeter. Simplify.

2w – 20

2w – 10

2w +10

2w + 20

Answer 1

2w + 20

Step-by-step explanation:

As stated in the question, the perimeter is the sum of the lengths of all the sides. So a general expression for the perimeter of a four-sided shape could be written like this:

P = AB + BC + CD + DA

or

P = 2w + 2l; w = width and l = length

So, to write an expression to match this problem, all we have to do is substitute the given side lengths (the first form) or substitute the given values of w and l (the second form):

P = AB + BC + CD + DA

P = 10 + w + 10 + w

P = 20 + 2w

P = 2w + 20

OR

P = 2w + 2l

P = 2(w) + 2(10)

P = 2w + 20

Answer 2

Answer:2w + 20

Step-by-step explanation:

See, the carpet has a rectangular measure of 10 feet.

It's width is 'w'

We, know that perimeter is the sum of all sides.

Now there are two equal sides which we consider length and two other equal sides for width.

So, we have to add all sides which gives 20 +2w

Also general formula for perimeter is 2(length + breadth)

So, our ans. is 2w + 20

Hope it helps!!!