Question

the sides of a rectangular plot are in the ratio 5:4 and its area is equal to 500 sq. find the perimetre of the plot​

Answer 1

Step-by-step explanation:

let the sides of the rectangular plot be 5x and 4x

area of rectangular plot= length × breadth

500= 5x*4x

20x²=500

x²=500/20

x²=25

x=√25

x=5

sides of rectangular plot= 5x,4x

=5*5,4*5

=25,20

perimeter of rectangular plot = 2(length+breadth)

=2(25+20)

=2(45)

=90

Answer 2

Answer:

let the length of rectangle be 5x unit

let the breadth of rectangle be 4xunit

area of rectangle = length * breadth

500= 5x * 4x

500= 20x*x

500/20=x*x

25= x*x

5=x

1. 5x=25unit
2. 4x=20unit

now,

perimeter of rectangle = 2( length + breadth)

= 2(25+20)

= 2(45)

= 90units