Question

ii) A rectangle has area equal to that of a square of side 40 cm. If the breadth of the<br />rectangle is 20cm, find its length.​

Answer 1

side of the square =40 cm

area of the square = (40×40) cm²

= 1600 cm²

area of the square = area of the rectangle = 1600cm²

breadth of the rectangle = 20 cm

breadth of the rectangle = 1600/20

= 80 cm

hope it helps uu mate

Answer 2

Given -

• Area of rectangle is equal to the area of square.
• Side of square = 40cm
• Breadth of rectangle = 20cm

⠀

To find -

• Length of the rectangle.

⠀

Solution -

We have length of each side of the square, let us find the area of square.

⠀

★ Area (square) = (side)² ★

➛ Area of square = (40)²

➛ Area of square = 1600cm²

⠀

Now, we have breadth of the rectangle i.e., 20cm and need to find the length.

It is also given that area of rectangle is equal to the area of square.

•°• Area of rectangle = 1600cm²

⠀

Finding length of rectangle

⠀

★ Area (rectangle) = l × b ★

➛ Area of rectangle = 1600

➛ l × b = 1600

➛ l × 20 = 1600

➛ l = 1600/20

➛ l = 80 cm

⠀

Hence,

• Length of the rectangle is 80cm.

━━━━━━━━━━━━━━━━━━━━━━