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The length, l, of a rectangle is 3 times its width. The perimeter of the rectangle is greater than 48 centimeters. Which inequality expresses all the possible lengths, in centimeters, of the rectangle?

Sagot :

L>18
18/3 = 6
6(2) + 18(2) = 48

The inequality expresses all the possible lengths, in centimeters, of the rectangle is given as l >18

Perimeter of a triangle

The formula for calculating the perimeter of a triangle is expressed as:

P = 2(l + w)

l is the length

w is the width

Given the following

l = 3w

w = l/3

If the perimeter of the rectangle is greater than 48 centimeters, then;

2(l + w) > 48

2(3w+w) > 48

2(4w) > 48
8w > 48
w > 6

l/3 > 6
l > 18

Hence the inequality expresses all the possible lengths, in centimeters, of the rectangle is given as l >18

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