rectangle has a length of 4x and a width of 4x-2. Its perimeter is 12 inchs. find the length and width
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Since perimeter of any rectangle:
length + length + width + width = perimeter
2length + 2width = perimeter
2(length + width) = perimeter
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Substitute what was given:
length = 4x
width = 2x-2
perimeter = 12
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2(4x + 2x-2) = 12
2(6x-2) = 12
6x-2 = 6
6x = 8
x = 8/6
x = 4/3
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length = 4x = 4(4/3) = 16/3 inches
width = 2x-2 = 2(4/3)-2 = 8/3 -2 = 8/3 - 6/3 = 2/3 inches
