Question

The ratio of the length and breadth of a rectangle is
5:3. If length is 8 m more than breadth, then find the area of
the rectangle.​

Answer 1

Answer:

Description for Correct answer:

Let the length of rectangle = 5x and breadth of triangle = 3x

According to the question,

5x-3x=8 => 2x=8

x=4

Length = 5x =5×4 = 20 m

Breadth=3x = 3×4 =12 m

Required area = Length×Breadth

= 20×12=240 sq m

Answer 2

Answer:

Let the length and breadth be 5x and 3x respectively

Given:

• Length is 8m more than breadth.

To find:

• Area of the Rectangle

Solution:-

According to the question....

Length = 8m + breadth

Now we will substitute the value of length and breadth

5x= 8m+3x. [Now let's find value of 'x' from here]

5x-3x=8m

2x=8m

$\sf \: x = \dfrac{ \cancel{8 \: \:} m}{ \cancel{2 \: \: \: }} \\ \sf \: x = 4m$

So let's find length and breadth

• Length= 5x=5×4m=20m
• Breadth= 3x=3×4m=12m

Finally we will find the area of the rectangle

Formula to find Area of the Rectangle:-

$\: \: \: \: \: \boxed{ \red{ \sf \:Area \: of \: the \: Rectangle = l \times b}}$

Area= 20m×12m= $\: \: \: 240 { \sf \: m}^{2}$