Question

if the length and breadth of rectangle is 7 : 5 then find length and breadth with perimeter 720​

Answer 1

$\huge\boxed{\fcolorbox{black}{pink}{Answer}}$

GIVEN

• $\sf{\:The \:length \:and \:breadth \:of \:rectangle \:is </u><u>\</u><u>:</u><u>7 : 5}$

• $\sf{Perimeter = 720}$

So ;

• $\sf{\:Let \:take \:the \:numbers \:as = x}$
• $\sf{\:So \:the \:length \:be = 7x}$
• $\sf{\:So \:the \:Breadth \:be = 5x}$

TO FIND

• $\sf{\:Length \:of \:rectangle = ?}$
• $\sf{\:Breadth \:of \:rectangle = ?}$

Now :

We know the formula ;

$\sf\boxed{\:Perimeter \:of \:rectangle = 2[l + b]}$

$\sf{⇢720 = 2[ 7x + 5x]}$

$~~~~~~~~~~~$

$\sf{⇢720 = 2[12x]}$

$~~~~~~~~~~~$

$\sf{⇢720 = 24x}$

$~~~~~~~~~~~$

$\sf{⇢\frac{720}{24} = x}$

$~~~~~~~~~~~$

$\sf{⇢\frac{720}{24} = x}$

$~~~~~~~~~~~$

$\sf{⇢\frac{\cancel{720}^{30}}{\cancel{24}_{1}} = x}$

$~~~~~~~~~~~$

$\sf{⇢30 = x}$

So the value of $\boxed{x = 30}$

$~~~~~~~~~~~$

So the value of ;

• Length = 7x = 7(30) = 210

$\sf\boxed{Length = 210}$

$~~~~~~~~~~~$

• Breadth = 5x = 5(30) = 150

$\sf\boxed{Breadth = 150}$

Answer 2

Given

• The length and breadth of the rectangle is 7:5
• Perimeter of rectangle is 720

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To Find

• The length of the rectangle
• The breadth of the rectangle

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Solution

Let the length be ⇒ 7x

Let the breadth be ⇒ 5x

Perimeter of Rectangle ⇒ 2 (Length + Breadth)

Perimeter of Given Rectangle ⇒ 720

To find the length and breadth of the given rectangle we will solve the this equation ⇒ 2 (7x + 5x) = 720

⇒ 2 (7x + 5x) = 720

⇒ 2 (12x) = 720

⇒ 24x = 720

⇒ x = 720 ÷ 24

⇒ x = 30

Using the value of 'x' (which is 30) we will substitute the values of the variables and find the value of length and breadth.

∴ Let the length be ⇒ 7x ⇒ 7(30) ⇒ 210

∴ Let the breadth be ⇒ 5x ⇒ 5(30) ⇒ 150

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