Question

the length of a rectangular garden is twice its breadth if its perimeter is 36m find its length and breadth. ​

Answer 1

Answer:

length be 2x

breathe be x

first find the value of x

2(l+b)=36

2(2x+x)=36

2*3x

3x=36/2=18

x= 18*3=54

Answer 2

Answer :-

• Length of the park = 12 m.
• Breadth of the park = 6 m.

Given :-

• The length of a rectangular garden is twice its breadth.
• Its perimeter is 36 m.

To find :-

• The length and breadth of the garden.

Step-by-step explanation :-

Given, the length is twice its breadth.

Let the breadth be b.

Then the length will be 2b.

We know that :-

Perimeter of a rectangle = 2 (Length + Breadth)

The perimeter is 36 m.

Lets apply this formula.

Substituting the values, we get :-

$\sf 2 \: (2b + b) = 36 \: m$

Removing the brackets,

$\sf4b + 2b = 36 \: m$

On simplifying,

$\sf6b = 36 \: m$

Transposing 6 from LHS to RHS, changing it's sign,

$\sf b = \dfrac{36 \: m}{6}$

Dividing 36 m by 6,

$\sf b = 6 \: m.$

Therefore, the breadth (b) = 6 m.

The length = 2b.

So, the length = 2 × 6 m = 12 m.

Verification :-

To check our answer, let's apply the formula required for finding the perimeter of a rectangle, using the length and breadth.

We will multiply the length and breadth with 2, and then check whether we get the perimeter.

Length = 12 m

Breadth = 6 m.

Substituting the values, we get :-

LHS

$\sf\Rightarrow2 \: (12 \: m + 6 \: m)$

$\sf\Rightarrow24 \: m + 12 \: m$

$\sf\Rightarrow36 \: m.$

RHS

$\sf\Rightarrow36 \: m.$

Since we got the perimeter after applying the formula,

Hence verified!