Question

The breadth of a rectangular garden is 2/3 of it's length if it's perimeter is 40 metre find it's dimensions

Answer 1

Given : -

The breadth of a rectangular garden is 2/3 of it's length if it's perimeter is 40 metre.

To Find : -

Find the dimensions of rectangular garden

Solution : -

Let the length be x then its breadth be 2x/3

Perimeter of rectangular garden = 40m

→ 2(length + breadth) = 40

→ (x + 2x/3) = 40/2

→ (3x + 2x/3) = 20

→ 5x/3 = 20

→ x = 3 × 20/5

→ x = 3 × 4 = 12m

Hence,

★ Length of rectangular garden

→ x = 12 m

★ Breadth of rectangular garden

→ 2x/3

→ 24/3 = 8m

_______________________

Answer 2

Given :

• The breadth of the rectangular garden is 2/3 of it's length.

• Perimeter of the rectangular garden = 40 m.

To find :

• Dimensions of the rectangular garden =?

Step-by-step explanation :

Let, the length of the rectangular garden be l.

Then, the breadth of the rectangular garden be, (2/3)l.

It is Given that,

Perimeter of the rectangular garden = 40 m.

Now,

As We know that,

Perimeter of the rectangle = 2( length + breadth)

Substituting the values in the above formula, we get,

➺ 40 = 2[l + (2/3)l]

➺ 40 = 2[(3l + 2l)/3]

➺ 40 = 2 (5l/3)

➺ 40 = 2 × 5l/3

➺ 40 = 10l/3

➺ 10 l = 40 × 3

➺ 10 l = 120

➺ l = 120/10

➺ l = 12.

Therefore, We got the value of, l = 12.

Hence,

Length of the rectangular garden, l = 12 metre

And, Breadth of the rectangular garden, (2/3)l

➮ (2 × 12)/3 ➮ 24/3 = 8 metre