Question

The length of a rectangle is $1\frac{3}{4}$ of its breadth. If perimeter is $66$. find the length of rectangle.

• A. $12$
• B. $21$
• C. $20$
• D. $11$

Answer 1

Answer: (B)

$21$

Let breadth of rectangle be $x$
Length = $1\frac{3}{4}\times x=\frac{7}{4}x$ ....given

According to the question,
$2(\frac{7}{4}x+x)=66$

$⟹2\left(\frac{7x+4x}{4}\right)=66$

$⟹11x=66\times 2$

$⟹x=12$

Length =$\frac{7}{4}\times 12=21$