Question

The width of Sudha ‘s garden is 2/3 of its length if its perimeter is 40 m find its dimensions

Answer 1

SOLUTION

Let the length of the garden be x cm.

Width of the garden

$= > \frac{2}{3} x$

Perimeter of the garden= 40m

=) 2(length+breadth)= 40m

$= > x + \frac{2}{3} x = 20 \\ \\ = > \frac{3x + 2x}{3} = 20 \\ \\ = > \frac{5x}{3} = 20 \\ \\ = > 5x = 60 \\ \\ = > x = \frac{60}{5} = 12$

Length of the garden = 12m.

Width of the garden = 2/3× 12 = 8m

hope it helps ☺️

Answer 2

Given:

• Perimeter = 40 m

To find out:

Find its dimensions

Formula used:

Perimeter = 2 (length + width)

Solution:

Let the length of the garden be x m.

Then, Width = 2x/3 m.

According to question:

Perimeter = 2 (length + width)

⇒ 40 = 2 ( x + 2x/3 )

⇒ 40 = 2x + 4x/3

⇒ 40 = 6x + 4x/3

⇒ 40 × 3 = 6x + 4x

⇒ 120 = 10x

⇒ x = 120/10

⇒ x = 12

∴ Length = x = 12 m and Width = 2x/3 = 2×12/3 = 8 m.