Question

Q. The length and breadth of a rectangular park are in the ratio of 5:3. If the perimeter is 480 m,
find its area.
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Answer 1

Answer:

The area of rectangle is 13,500$m^{2}$.

Step-by-step explanation:

Let x be the common factor between the ratio of length and breadth.

∴Length = 5x

Breadth = 3x

Perimeter of Rectangle =  480m

2(l+b) = 480

2(5x + 3x) = 480

2 x 8x = 480

8x = 480÷2

8x = 240

x = 240÷8

x = 30m

∴Length = 5x

             = 5 x 30

             = 150m

Breadth = 3x

              = 3 x 30

              = 90m

Area of Rectangle = L x B

                              = 150 X 90

                              = 13,500$m^{2}$

Answer 2

Answer:

let length be 5x.

let breath be 3x.

perimeter=2(l+b)

480m= 2(5x+3x)

480/2 m= 8x

240m= 8x

240/8= x

30m = x

length= 5x= 5×30= 150m

breath= 3x= 3×30=90m

Area=length×breath

=150×90 m²

=13500 m²

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