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Solving Equations Algebraically

The sides of ...

Question

The sides of a rectangular piece of paper are in the ratio 2:3. If the area is 150 sq.cm, find the lenght of its sides.

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Solution

1. Let length be 2x
breadth be 3x
Area= lb=2x3x=6x^2
Given area= 150 cm^2
According to the problem, equation is
6x^2=150
x^2=150/6
x^2=25
x=√25
x=5
therefore, length =2x=25=10 cm
breadth=3x=35=15cm

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