Question

1) A rectangle has same area as that of a square of side 10 m. If the breadth of the
rectangle is 8 m, find the perimeter of the rectangle.

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Answer 1

$\bf{\underline{\underline{Question:-}}}$

A rectangle has same area as that of a square of side 10 m. If the breadth of the

rectangle is 8 m, find the perimeter of the rectangle.

$\bf{\underline{\underline{Solution:-}}}$

Let,

• The breadth of rectangle be x m

★ Area of square = Area of rectangle

Area of square ( side × side ) = Area of rectangle ( length × breadth )

So,

$\rm → 10 ×10=x×8$

$\rm → 100=8x$

$\rm → x=\dfrac{\cancel{100}^{12.5}}{\cancel{8}}$

$\rm → x = 12.5 m$

Now,

• Perimeter of rectangle = 2 ( l + b )

$\sf perimeter = 2 ( 8 + 12.5)$

$\sf perimeter = 2(20.5)$

$\sf perimeter = 41m^2$

$\bf{\underline{\underline{Hence:-}}}$

• perimeter = 41m²

Answer 2

Answer :

➥ The perimeter of the rectangle = 41 m²

Given :

➤ A rectangle has same area as that of a square of side = 10 m

➤ The breadth of the rectangle = 8 m

To Find :

➤ The perimeter of the rectangle = ?

Required Solution :

❒ In the above Question, we are provided that A rectangle has same area as that of a square of side 10 m, that means Area of rectangle is equal to Area of square whose side is 10 m. And the breadth of the rectangle is 8 m.

✒ To find the, the perimeter of the rectangle. at first we need to find the length of a rectangle to find the length of a rectangle, we will assume the length of rectangle be l m, Then, let's solve the solution on the basis of conditions given above.

Let ,

The length of th rectangle be "l"

As we know that

Area of rectangle = l × b

Here,

• l is the Length in m.
• b is the Breadth in m.

Area of square = a²

Here, $\:$

• a is the side in m.

So ,

⇒ Area of Rectangle = Area of Square

⇒ length × breadth = Side²

⇒ l × 8 = 10²

⇒ 8l = 100

⇒ l = 100/8

⇒ l = 12.5 m

Now, we have length and breadth of a rectangle,

• Length of a rectangle = 12.5 m
• Breadth of a rectangle = 8 m

We can find the perimeter of a rectangle by using formula of perimeter of a rectangle which says 2(l + b).

Here,

• l is the Length in m.
• b is the Breadth in m.

✎ So, let's find the perimeter of a rectangle !

⇛ Perimeter of a rectangle = 2(l + b)

⇛ Perimeter of a rectangle = 2(8 + 12.5)

⇛ Perimeter of a rectangle = 2 × 20.5

⇛ Perimeter of a rectangle = 41 m²

║Hence, the perimeter of the rectangle is 41 m².║