Question

The breadth of a rectangular garden is 23 of its length . If its perimeter is 40m, find its dimensions.​

Answer 1

Answer:

Step-by-step explanation:

2(23+x)=40

23+x = 40/2

23+x =20

x=20-23

x= -3

Answer 2

Given:

The breadth of a rectangular garden is 23 of its length.

Perimeter = 40m.

To Find:

The dimensions of the rectangular garden.​

Solution:

Let the length of the rectangular garden be x.

According to the question,

The breadth of the rectangular garden = 23x.

By the formula,

The perimeter of the rectangular garden = 2 × (length + breadth).

The perimeter of the rectangular garden = 2 × (x + 23x).

The perimeter of the rectangular garden = 2 × 24x.

The perimeter of the rectangular garden = 48x.

We have,

The perimeter of the rectangular garden = 40m.

So,

40m = 48x.

x = 0.83.

So, Length = 0.83m and breadth = 19.09m.

Hence, the length and breadth of the rectangular garden are 0.83m and 19.09m.