Question

The perimeter of a rectangle is 240 m. The ratio of its length and breadth is 5: 3. Find out the area of that rectangle​

Answer 1

$\underline\red{\bold{answer}}$

• The area of rectangle = 3375 m2

_______________________________

${\huge{\sf{\red{\underline{✓GIVEN}}}}}$

• The perimeter of a ractangle = 240 m

• The ratio of its length and breadth is 5: 3 .

$\underline\red{\bold{✓FORMULA}}$

• The perimeter of rectangle = 2( l + b )

• The area of rectangle = l × b

where,

• l = length of rectangle

• b = Breadth of rectangle

$\underline\red{\bold{✓SOLUTION}}$

• According to this question

✓ the ratio its length and breadth = 5:3

let the length = 5x

and breadth = 3x

• The perimeter of rectangle = 240 m

$2(5x + 3x) = 240 \\ \: \implies8x = \frac{\cancel2\cancel4\cancel0}{\cancel2} \\ \implies \: x = \frac{\cancel1\cancel2\cancel0}{\cancel8}15 \\ \: \implies \: x = 15$

so

The length of rectangle = 5x = 5×15 = 75 m

breadth of rectangle = 3x = 3×15 = 45 m

• The area of rectangle =

$75 \times 45 = 3375 \: {m}^{2}$

So the area of rectangle = 3375 m2

$\blue{\texttt{your answer}}$

• The area of rectangle = 3375 m2

Answer 2

Answer :-

• The area of rectangle is 3375m².

Step-by-step explanation ::

To Find :-

• The area of rectangle

Solution ::

Given that,

• The perimeter of rectangle = 240m
• The length and the breadth are in the ratio of 5:3

Assumption:

• Let us assume the length and breadth as 5x and 3x,

First we need to find out the length and breadth of the rectangle,

As we know that,

Perimeter of rectangle = 2 ( Length + Breadth )

=> 2 ( 5x + 3x ) = 240

=> 5x + 3x = 240/2

=> 5x + 3x = 120

=> 8x = 120

=> x = 120/8

=> x = 15

Therefore, the length and breadth of rectangle, are :-

• Length [ We assumed the length as 5x ]

=> 5x

=> 5*15

=> 75m

• Breadth [ We assumed the breadth as 3x ]

=> 3x

=> 3*15

=> 45m

According the question,

The area of rectangle is,

As we know that,

Area of rectangle = Length × Breadth,

=> Area = 45m × 75m

=> Area = 3375m²

The area of rectangle is 3375m².