Question

the length of a rectangle is twice its breadth if the perimeter is 36 m find the length of the rectangle​

Answer 1

Answer:

Breadth = 6 and length = 12 is correct answers

Step-by-step explanation:

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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.

Solution:-

◆ 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

$\sf\Rightarrow36 \ \:$

Since we got the perimeter after applying the formula,

Hence verified!