Question

If the ratio between the length and perimeter of a rectangular garden is 1 : 3, then find the ratio between the length and breadth of the garden.

Answer 1

Given

perimeter of a rectangular garden = 1 : 3

To find

Ratio between the length and breadth of the garden.

solution ⬛

Ratio in length and perimeter of rectangle =1:3

Let length of the rectangle =x

Then perimeter =3x

So, 2(l+b)=P

b=P/2−l

∴ Breadth =(3x/2−x)

=x/2

∴ ratio in length and breadth =x:x/2

Hence, ratio is 2:1

Answer 2

Step-by-step explanation:

Ratio between length and perimeter of rectangular garden is 1:3

length = 1cm

Perimeter = 3 cm

Ratio of length and breadth of garden???

• Perimeter = 2( l + b ) = 3
• = 2(1 + x) = 3
• = 2 + 2x = 3
• = 2x = 3 - 2
• = 2x = 1
• = x = 1/2
• Breadth = 1/2 cm
• Ratio of length and breadth of garden
• = 1 : 1/2
• 2:1
• Answer: Ratio of length and breadth is 2:1