The length of a rectangle is three times its width its perimeter is 24 cm find its area

Question

03-02-2016
Mathematics

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The length of a rectangle is three times its width its perimeter is 24 cm find its area

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taskmasters taskmasters · Answer 1 · 2016-02-03T20:15:33+01:00

taskmasters taskmasters

03-02-2016

Area of a rectangle is 27 cm²

Given:
Perimeter of a rectangle = 24 cm
Length = 3x
Width = x

p = 2(l + w)
24 = 2(3x + x)
24 = 6x + 2x
24 = 8x
24/8 = x
3 = x

Width = 3 cm ; Length = 3x = 3(3) = 9 cm

Area = length * width
= 9cm * 3 cm
Area = 27 cm²

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