Question

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth
of the rectangle is 25 cm, find the length of the rectangle.
(a) 60 m
(b) 62 m
(c) 64 m
(d) 68 m
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Answer 1

Answer:

$area \: of \: square \: = {a}^{2}$

$= {40}^{2} = 1600 \: {cm}^{2}$

$1600 = 25 \times l$

$l = \frac{1600}{25 } = 64cm$

Answer 2

Given:

✰ The areas of a square and rectangle are equal.

✰ Length of a each side of a square = 40 cm

✰ Breadth of the rectangle = 25 cm

To find:

✠ The length of the rectangle.

Solution:

Let's understand the concept first! Here in this question, we know that the areas of square and the rectangle are equal and we are provided with length of one side of a square. So, first we will find the area of a square using formula. After that we will substitute the value of area of square in the formula of area of rectangle to find the length of the rectangle.

Let's find out...✧

✭ Area of a square = ( side )² ✭

Putting the values in the formula, we have:

➛ Area of a square = ( 40 )²

➛ Area of a square = 40 × 40

➛ Area of a square = 1600 cm²

The areas of a square and rectangle are equal.

Area of a square = Area of a rectangle

✭ Area of a rectangle = l × b ✭

Where,

• l is the length of a rectangle.
• b is the breadth of a rectangle.

Putting the values in the formula, we have:

➤ 1600 = l × 25

➤ l = 1600/25

➤ l = 64 cm

∴ The length of a rectangle = 64 cm

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