Question

the breadth of a rectangular garden is 1/4 of it's length. if it's perimeter is 30 m find its dimensions​

Answer 1

Answer:

12 and 3

Step-by-step explanation:

L=x

B=x/4

Perimeter=30m

2(L+B)

2(5x/4)

5x/2=30

5x=60

x=12

x/4=3

Answer 2

Answer:

• Length and Breadth of the rectangular garden are 12 m and 3 m respectively.

Step-by-step explanation:

Given that:

• The breadth of a rectangular garden is 1/4 of its length.
• The perimeter of the garden is 30 m.

To Find:

• The dimensions of the garden.

Solution:

Let us assume:

• The length of the rectangular garden be 4x.

Then,

• The breadth of the rectangular garden will be x.

As we know that:

Perimeter of a rectangle = 2(length + breadth) units

Substituting the values,

$\sf{Perimeter=2(4x+x)}$

$\sf{=2\times5x}$

$\sf{=10x}$

Hence,

• Perimeter of the rectangular garden = 10x

But,

• Perimeter of the rectangular garden = 30 m (given)

Therefore,

$\sf{\longmapsto10x=30\;m}$

Transposing 10 from LHS to RHS and changing its sign,

$\sf{\longmapsto x=\dfrac{30\;m}{10}}$

Cutting off the zeros,

$\sf{\longmapsto x=\dfrac{3\!\!\!\not{0}\;m}{1\!\!\!\not{0}}}$

$\bf{\longmapsto x=3\;m}$

Hence,

• Value of x = 3 m

Therefore,

• Length of the rectangular garden = 4x = (4 × 3) m = 12 m
• Breadth of the rectangular garden = x = 3 m