Question

the perimeter of a rectangular floor is 100 feet . Find the dimensions of the floor , if the length is four times the width​

Answer 1

Answers:  

Width = 10 feet

Length = 40 feet

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Explanation:

W = width

L = 4W = four times the width = length

P = perimeter

P = 2*(W+L)

P = 2*(W+4W)

P = 2(5W)

P = 10W

The perimeter is 100 feet.

P = 100

10W = 100 .... plug in P = 10W

W = 100/10 .... divide both sides by 10

W = 10

The width is 10 feet.

L = 4W

L = 4*10

L = 40

The length is 40 feet.

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Check:

P = 2(L+W)

P = 2(40+10)

P = 2(50)

P = 100

or another way to check is to add up the four sides {10, 40, 10, 40}

10+40+10+40 = 50+50 = 100

This confirms the answer.

Answer 2

Answer:

Width = 10 feet

Length = 40 feet

Step-by-step explanation:

Perimeter (P) = 2L + 2W

where

P = 100 feet

L = 4W

plugin values into the formula:

100 = 2(4W) + 2W

100 = 8W + 2W

100 = 10W

W = 100/10

W = 10 feet

L = 4W

L = 4(10)

L = 40 feet

P = 2(40) + 2(10)

P = 80 + 20

P = 100