Question

The breadth of a rectangular garden is 2 more than its length. Ifis perimeter is 40 m. findes. dimensions​

Answer 1

• The dimensions are 9 m and 11 m.

Given :

• The breadth of a rectangular garden is 2 more than the length of a rectangular garden.
• The perimeter of the garden = 40 m.

To Find :

• The dimensions (the length and the breadth of the garden).

Solution :

Let,

The length of a rectangular garden be x.

The breadth of a rectangular garden be x + 2 because according to the question, the breadth of the garden is 2 more than its length.

We know that,

Perimeter of the rectangle = 2(length + breadth)

Given,

Perimeter of the garden = 40 m

➸ 2(length + breadth) = 40 m

➸ 2(x + x + 2) = 40 m

➸ 2(2x + 2) = 40 m

➸ 4x + 4 = 40 m

➸ 4x = 40 – 4 m

➸ 4x = 36 m

➸ x = $\sf \cancel \dfrac{36}{4} \: m$

➸ x = $\sf \cancel \dfrac {18}{2} \: m$

➸ x = 9 m

So,

The length and the breadth of the garden is :

The length of the garden = x = 9 m.

The breadth of the garden = x + 2 = 9 m + 2 = 11 m.

Hence,

The dimensions are 9 m and 11 m.

Verification :

Given,

Perimeter of the garden = 40 m

2(length + breadth) = 40 m

Now we have,

• Length of the garden = 9 m.
• Breadth of the garden = 11 m.

➸ 2(9 m + 11 m) = 40 m

➸ 2(20 m) = 40 m

➸ 2 × 20 m = 40 m

➸ 40 m = 40 m

Hence Verified !