Question

Find the perimeter of a rectangle whose area is 600 cm² and breadth is 25cm
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Answer 1

Answer:

Perimeter of a rectangle is 98 cm .

Step-by-step explanation:

Given -

Area is 600 cm²

Breadth is 25cm

To find -

The perimeter of a rectangle

Solution -

As we know that,

Area of a rectangle = $wl$

where ,

w = Breath

l = length

Put the given value in these formula we get

$600= 25\times l$

$l = \frac{600}{25}$

$l =24$ cm

∴ Length is 24 cm .

Perimeter of a rectangle = $2L+2W$

Perimeter of a rectangle = $2\times 24 + 2\times 25$

Perimeter of a rectangle = $48 + 50$

Perimeter of a rectangle = $98$ cm

∴ Perimeter of a rectangle is 98 cm .

Answer 2

Answer:

Given :-

• A rectangle whose area is 600 cm² and breadth is 25 cm.

To Find :-

• What is the perimeter of a rectangle.

Solution :-

First, we have to find the length of a rectangle :

Let,

$\mapsto \bf Length_{(Rectangle)} =\: x\: cm$

Given :

• Area of rectangle = 600 cm²
• Breadth = 25 cm

According to the question by using the formula we get,

$\footnotesize \implies \bf Area_{(Rectangle)} =\: Length \times Breadth$

$\implies \sf 600 =\: x \times 25$

$\implies \sf 600 =\: 25x$

$\implies \sf \dfrac{600}{25} =\: x$

$\implies \sf 24 =\: x$

$\implies \sf\bold{\purple{x =\: 24\: cm}}$

Hence, the length of a rectangle is 24 cm .

Now, we have to find the perimeter of a rectangle :

Given :

• Length = 24 cm
• Breadth = 25 cm

According to the question by using the formula we get,

$\footnotesize \dashrightarrow \bf Perimeter_{(Rectangle)} =\: 2(Length + Breadth)$

$\dashrightarrow \sf Perimeter_{(Rectangle)} =\: 2(24 + 25)$

$\dashrightarrow \sf Perimeter_{(Rectangle)} =\: 2 \times 49$

$\dashrightarrow \sf\bold{\red{Perimeter_{(Rectangle)} =\: 98\: cm}}$

$\therefore$ The perimeter of a rectangle is 98 cm.