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A rectangle has length $\frac{x + 2}{2}$ cm and breadth $\frac{x - 1}{3}$ cm. The length is exactly twice the breadth.
Form the equation and find $x$ .

Class 8Reducing to Simpler FormLinear Equations

A10
B20
C9
D11

Step-by-Step Solution

\frac{x + 2}{2} = 2 \times \frac{x - 1}{3} = \frac{2 x - 2}{3}

. Cross-multiply:

3 (x + 2) = 2 (2 x - 2)

, so

3 x + 6 = 4 x - 4

, giving

x = 10

.

Answer: A) 10

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