Question

The length of a rectangle is $\frac{3x}{2}+1$ and its breadth is $\frac{2x}{3}-1$.

Then find its perimeter.

• A. $\frac{3x}{2}+\frac{4x}{3}$
• B. $\frac{13x}{3}$
• C. $\frac{9x}{2}+2$
• D. $5x+4$

Answer 1

The correct option is B $\frac{13x}{3}$

Perimeter of rectangle $=$ $2\times (L+B)$

Where L and B are length and breadth of rectangle.

L$=$$\frac{3x}{2}$$+1$

B$=$$\frac{2x}{3}$$-1$

$L+B=$$\frac{3x}{2}$$+1+$$\frac{2x}{3}$$-1$

$L+B=$$\frac{13x}{6}$

$2\times (L+B)$$=$$\frac{13x}{3}$

Hence, Option B is correct.