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?

16 cm

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18 cm

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24 cm

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26 cm

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Solution

The correct option is B 18 cm
$2 \frac{(l + b)}{b} = \frac{5}{1}$
$\Rightarrow 2 l + 2 b = 5 b$
$\Rightarrow 2 l = 3 b$
Area = 216 $c m^{2}$
$\Rightarrow l \times b = 216 c m^{2}$
$\Rightarrow l \times \frac{2 l}{3} = 216$
$\Rightarrow l^{2} = 324$
$\Rightarrow l = 18 c m$

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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?

The correct option is B 18 cm2(l+b)b=51 ⇒2l+2b=5b ⇒2l=3b Area = 216 cm2 ⇒l×b=216cm2 ⇒l×2l3=216 ⇒l2=324 ⇒l=18cm

The correct option is B 18 cm
$2 \frac{(l + b)}{b} = \frac{5}{1}$
$\Rightarrow 2 l + 2 b = 5 b$
$\Rightarrow 2 l = 3 b$
Area = 216 $c m^{2}$
$\Rightarrow l \times b = 216 c m^{2}$
$\Rightarrow l \times \frac{2 l}{3} = 216$
$\Rightarrow l^{2} = 324$
$\Rightarrow l = 18 c m$