Question

Gerry has 24meters of fence. The length of the garden is twice it's width. How long is the garden.?

Answer 1

Answer:

The garden is 8 meters long

Step-by-step explanation:

The garden has a fence of 24m, which means that the perimeter of the garden = 24m

Let L = length of the garden

     B = breadth of the garden

Now, Perimeter = 2L + 2B

We are given that L = 2B. Hence,

Perimeter = 2(2B) + 2B

=> 2(2B) + 2B = 24

=> 4B + 2B = 24

=> 6B = 24

=> B = 4

=> L = 2B = 8

The length of the garden (L) = 8m

The breadth of the garden (B) = 4m

Verify:

Perimeter = 2L + 2B = 16+8 = 24m (as given)