Question

The length of a rectangle is 20 cm more than its breadth if the perimeter is 100 cm . find the dimension of the rectangle . ​

Answer 1

hope the pic help you... :)

Answer 2

• Given

• Length of the rectangle is 20 cm more than the breadth.
• Perimeter of the rectangle = 100 cm

• To find

• Dimensions of the rectangle

• Solution

Let the breadth be x cm and length be (x + 20) cm.

Perimeter of the rectangle = 100 cm

• Perimeter of rectangle = 2(l + b)

⟶ 100 = 2(x + x + 20)

⟶ 100 = 2(2x + 20)

⟶ 100 = 4x + 40

⟶ 100 - 40 = 4x

⟶ 60 = 4x

⟶ 60/4 = x

⟶ 15 = x

The value of x = 15

• Dimensions of the rectangle -
• Length of the rectangle = (x + 20) = 15 + 20 = 35 cm
• Breadth of the rectangle = x = 15 cm

______________________________________

Let's verify -

Perimeter of the rectangle = 100 cm

Length of the rectangle = 35 cm

Breadth of the rectangle = 15 cm

• Perimeter of rectangle = 2(l + b)

⟶ 2(35 + 15)

⟶ 2(50)

⟶ 100

Hence, verified.