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