Question

Length and breadth of a rectangle are in the ratio of 4:3. It's area is 1452cm. Find it's perimeter

Answer 1

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Answer 2

$\large \bold{ \underline{ \underline{ \sf \: Answer : \: \: \: }}}$

$\to$ Perimeter = 70 cm

$\large \bold{ \underline{ \underline{ \sf \: Explaination : \: \: \: }}}$

Let ,

Length = 4x

Breadth = 3x

By pythagoras theorem ,

$\to \sf {(4x)}^{2} + {(3x)}^{2} = {(25)}^{2} \\ \\ \to \sf 16 {x}^{2} +9 {x}^{2} =625 \\ \\ \to \sf </p><p>25 {x}^{2} =625 \\ \\ \to \sf </p><p> {x}^{2} = \frac{625}{25} \\ \\ \to \sf</p><p> {x}^{2} =25 \\ \\ \to \sf x = 5$

So ,

Length = 4x = 20 cm

Breadth = 3x = 15 cm

We know that ,

$\large\fbox{ \fbox{ \bold{ \sf Perimeter = 2(l + b)}}}$

$\to \sf Perimeter = 2 (20 + 15) \\ \\ \to \sf</p><p>Perimeter = 70 \: cm$

$\therefore$ The perimeter of rectangle is 70 cm