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Kayla's placemats are shaped like rectangles. Each placemat's border has a perimeter of 44 inches.

Each border is 14 inches long. What is the width of each border?

User Sam Quinn
by
4.3k points

2 Answers

5 votes

Answer:

8inches

Explanation:

Perimeter of the rectangle is the sum of all the sides of the rectangle.

Perimeter of a rectangle is expressed as P = 2L+2W

L is the length

W is the width

Given perimeter = 44inches

Length =14inches

From the formula:

2W = P-2L

2W = 44-2(14)

2W = 44-28

2W = 16

W = 16/2

W = 8inches

The width of the Border is 8inches

User Lingceng
by
4.4k points
4 votes

Answer:

8 Inches

Explanation:

To get the width of each border, we must be able to determine the relationship between the perimeter of the shape ( a rectangle) and the other measures which are the length and width.

Given that the perimeter P of a rectangle is equal to twice the sum of the length L and width W of the rectangle. Mathematically, this may be expressed as

P = 2(L + W)

As such, given that P =44 inches, L = 14 Inches,

44 = 2( 14 + W)

Divide both sides by 2

22 = 14 + W

W = 22 - 14

= 8 Inches

User MasterJoe
by
4.2k points