Question

The ratio of sides of a rectangle is 3:4 . If its area is 300sq.m ., find its perimeter?
Answer ​

Answer 1

Given information

• ↠ The ratio of sides of a rectangle is 3 : 4
• ↠ It's area is 300meters ²

What we have to calculate

• ↠We have to calculate Perimeter of Rectangle

How to solve this question

• ↠ We will find first Length and breadth of rectangle by using this formula of area of rectangle and According to the statement, setup the equation in term of x
• ↠After that Solve the equation we will get the value of length and breadth of rectangle

➺ Area of rectangle = length × breadth

• After getting value of length & breadth we will find perimeter of rectangle by using its formula

➺ Perimeter of rectangle = 2(length + breadth)

_______________

Let's us calculate length and breadth of rectangle

➺ let the length and breadth of rectangle is 3x and 4x

➥ Area of rectangle = length × breadth

• where length of rectangle is 3x , breadth 4x and Area of rectangle 300m²(given)

➥ 300 = 3x + 4x

• On Multiplying 3x and 4x

➥ 300 = 12x

• transferring sides

➥ x = 300/12

• On Dividing 300 by 12

➥ x = 25

We get the value of x = 25

Putting value of x

• ➺Length = 3x = 3(25) = 75

• ➺Breadth = 4x = 4(25) = 100

_______________

Finding Perimeter of rectangle

As we know to find perimeter of a rectangle, add the lengths of the rectangle's four sides.

• Perimeter of rectangle = 2(length + breadth)

➺Perimeter of rectangle = 2 (75 + 100)

• On adding

➺Perimeter of rectangle =2 (175)

• On Multiplying

➺Perimeter of rectangle = 350

Hence The Perimeter of rectangle is 350m

$\red{\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\begin{gathered} \sf{ \pink{75\:cm}} \: \: \: \huge\boxed{ \begin{array}{cc} \: \blue{\small \bf perimeter = 350m}\: \: \: \: \\ \: \: \: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ \pink{100\: cm}} \end{gathered}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}}$

Answer 2

Question:-

The ratio of sides of a rectangle is 3:4. If it's area is 300 meter² . Find its perimeter?

Given:-

• The ratio of two sides of a rectangle is 3:4 and its area is 300 meter².

To Find:-

• The perimeter of the rectangle.

Solution:-

Ratio of side of a rectangle is 3x : 4x.

Area = 300 meter².

3x × 4x = 300.

12x² = 300.

x² = 25.

$\sf \large \color{red}x = 5m.$

Calculating perimeter of a rectangle.

= 2( l + b ).

= 2 (4x + 3x).

= 14 × x.

= 14 × 5.

$\sf\large\color{navy}= 70m.$

Mutiplying the value of x in 70m.

x × 70

5 × 70 = 350m.

Answer:-

$\sf \color{pink}Hence, the \: perimeter \: of \: rectangle \: is \: 350m.$

Hope you have satisfied. ⚘