Question

The length of a rectangle with perimeter $14\frac{1}{4}$ cm is $4\frac{3}{8}$ cm. What is the breadth of the rectangle?

• A. $2\frac{1}{2}$
• B. $2\frac{1}{4}$
• C. $3\frac{1}{4}$
• D. $2\frac{3}{4}$

Answer 1

The correct option is D $2\frac{3}{4}$

Perimeter of a rectangle = $2\times (length+breadth)$

$14\frac{1}{4}$ = $2\times (4\frac{3}{8}+breadth)$

$14\frac{1}{4}$ = $8\frac{3}{4}$ + $2\times breadth$

$2\times breadth$ = $14\frac{1}{4}$ - $8\frac{3}{4}$ = $\frac{57}{4}-\frac{35}{4}$

$2\times breadth$ = $\frac{22}{4}$

$Breadth=\frac{11}{4}=2\frac{3}{4}$ cm