If the length of a rectangle is three more than twice its width and its perimeter is 24 cm Class 9

If the length of a rectangle is three more than twice its width and its perimeter is 24 cm Class 9

Question 1.

If the length of a rectangle is three more j than twice its width and its perimeter is 24 cm, what are the dimensions of the rectangle? Class 9

Solution:

Let the width of the rectangle be x cm.

∴ Length of the rectangle = (2x + 3) cm.

According to the given condition,

Perimeter of a rectangle = 24 cm

Perimeter = 2 (Length + Width)

∴ 24 = 2 [(2x + 3) + x]

∴ 24 = 2 (3x + 3)

∴ 24 = 6x + 6

∴ 6x = 18

∴ x = [latex]\frac{18}{6}[/latex]

∴ x = 3

Length of the rectangle = 2x + 3

= 2(3) + 3 = 9 cm.

∴ The dimensions of the rectangle are 3 cm and 9 cm.