Answered

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The perimeter of a rectangle i: 56 inches" The ratio of the length of the
width is 6: 1. Find the length and the width.

Sagot :

yye104

Answer:

Length = 24 inches

Width = 4 inches

Step-by-step explanation:

L = Length, W = Width

A rectangle has 4 sides, 2 Length and 2 Width

2L + 2W = 56 inches   ------EQ. 1

Also, we are given ratio of 6:1, which means that the Length is 6 times the size of the Width

OR

L= 6W   -----EQ. 2

We can now insert this value of "L" into EQ. 1

2(6W) + 2W = 56

12W + 2W = 56

14W = 56

W = 4

Now reinsert our W value into EQ. 2

L = 6(4)

L = 24

Lets test our values to see if they match the given perimeter value:

Perimeter = Length + Length + Width + Width

Perimeter = 24 + 24 + 4 + 4

Perimeter = 56

Also,

L / W = Ratio

24 / 4 = 6 / 1

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