The area of a rectangle is 20cm. The ratio of length to width is 2:3. What are the length and width?
Let the length of the rectangle be xcm
x/20÷x=2/3
3x=40/x
3x²=40
x=2√30/3
Then: width 20 △ x = 2 √ 30 / 3 △ 2 / 3 = √ 30
That is, the length of the rectangle is 2 √ 30 / 3cm, and the width is √ 30cm
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