Question

The area of a square and a rectangle are equal if the side of a square is 60 cm and the breadth of a rectangle is 40 cm. Find the length of a rectangle, also find the perimeter of a rectangle​

Answer 1

Answer:

Area of rectangle = area of square = 60*60 = 3600cm^2

Area of rectangle = 3600cm^2

l*40 = 3600

l = 90

Perimeter of rectangle = 2(90+40) = 2*130 = 260cm

Answer 2

Answer:

Length = 90 cm

Perimeter of rectangle = 260 cm

Step-by-step explanation:

Given:

• $\sf{Area_{square}\:=\:Area_{rectangle}}$
• Side of square = 60 cm
• Breadth of rectangle (b) = 40 cm

To find:

• Length of rectangle (l) = ?
• Perimeter of rectangle = ?

Solution:

We are given that, area of square = area of rectangle

that means, (side)² = l × b.

⇒ (60)² = I × 40

⇒ 3600 = I × 40

⇒ 3600/40 = l

⇒ 90 cm = l

Hence, length of rectangle = 90 cm.

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Now, we know that perimeter of rectangle = 2 × (l + b)

⇒ perimeter = 2 × (90 + 40)

⇒ perimeter = 2 x 130

⇒ perimeter = 260 cm

Therefore, perimeter of rectangle = 260 cm.