^{th}Independence Day

# The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A. 16 cm

B. 18 cm

C. 24 cm

D. Data inadequate

E. None of these

**Answer: Option B **

__Solution(By Examveda Team)__

$$\eqalign{
& \frac{{2\left( {l + b} \right)}}{b} = \frac{5}{1} \cr
& \Rightarrow 2l + 2b = 5b \cr
& \Rightarrow 3b = 2l \cr
& b = \frac{2}{3}l \cr
& {\text{Then,}} \cr
& {\text{Area = }}216\,c{m^2} \cr
& \Rightarrow l \times b = 216 \cr
& \Rightarrow l \times \frac{2}{3}l = 216 \cr
& \Rightarrow {l^2} = 324 \cr
& l = 18\,cm \cr} $$ ## Join The Discussion

## Comments ( 1 )

Related Questions on Area

A. 15360 m^{2}

B. 153600 m^{2}

C. 30720 m^{2}

D. 307200 m^{2}

E. None of these

A. 2%

B. 2.02%

C. 4%

D. 4.04%

E. None of these

A. 16 cm

B. 18 cm

C. 24 cm

D. Data inadequate

E. None of these

**The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:**

A. 40%

B. 42%

C. 44%

D. 46%

i am not getting it