Question

the length and breadth of a rectangular plot are in the ratio 5:4 if the area of the plot is 8820m² then find its length and breadth​

Answer 1

Answer:

let common ratio is x then length is 5x

and breadth is 4x

5x.4x=8820

20x^2=8820

x^2=8820/20=441

x=21

so length is 5.21m=105 m

breadth is 4.21m=84m

Answer 2

Given :-

The ratio of length and breadth of a rectangular plot = 5:4

The area of the rectangle = 8820 m²

To Find :-

The length of the rectangular plot.

The breadth of the rectangular plot.

Analysis :-

Take the length and breadth as variables 5x and 4x

Make an equation which shows the area.

Solve and find the value of x.

Substitute the value of x in 5x and 4x

Solution :-

We know that,

• l = Length
• b = Breadth

Given that,

Ratio of length and breadth = 5:4

Area = 8820 m²

According to the question,

Let us consider the length and breadth to be 5x and 4x respectively.

$\underline{\boxed{\sf Area \ of \ a \ rectangle=Length \times Breadth}}$

Substituting with the given data,

$\implies \sf 5x \times 4x=8820$

$\implies \sf 20x^{2}=8820$

$\implies \sf x^{2}=8820-20$

$\implies \sf x^{2}=\dfrac{8820}{20}$

$\implies \sf x^{2}=441$

$\implies \sf x=21$

The value of x is 21

Length = 5x

$\implies \sf 5 \times 21=101 \ m$

Breadth = 4x

$\implies \sf 4 \times 21=84 \ m$

Therefore, the length and breadth of the rectangular plot are 101 m and 84 m respectively.