Question

a rec garden has a perimeter of 160m.the length of the garden is 3 times that of its breadth.what is the length and breadth of the garden​

Answer 1

Answer:

Perimeter =2(l+b)

Step-by-step explanation:

160m=2(3x+x)

160m=2(4x)

160m=8x

x=160/8

x=20

length =3x=3*20=60m

breadth =x=20m

Answer 2

Answer:

Length = 60 m

Breadth = 20 m

Step-by-step explanation:

Given that :

• The perimeter of the rectangular garden is 160m.
• The length of the garden is 3 times that of its breadth.

To find :

• The length and breadth of the rectangular garden.

Solution :

Let the breadth of the garden be x. Then, the breadth of the garden be 3x.

According to the question,

Perimeter of garden = 160 m.

$\sf \implies 2(l + b) = 170\\\\\implies \sf 2(3x + x) = 160 \\\\\implies \sf 2(4x) = 160\\\\\implies \sf 8x = 160 \\\\\implies \sf x = \frac{160}{8} \\\\\implies \sf x = 20$

Thus,

• Length = 3x = 3(20) = 60 m
• Breadth = x = 20 m

Hence, the length and breadth of the rectangular garden is 60 m and 20 m respectively.