Question

the sides of a rectangular plot are in the ratio 5 is to 4 and its area is equal to 500 m per square find the perimeter of the plot

Answer 1

Let length be 5x
breath be 4x
Area = l x b
500=5x x 4x
500=20x
500/20=x
25m=x
Length = 5x =5 x 25 =125m
Breath = 4x = 4 x 25 = 100 m
Perimeter = 2( l + b )
= 2 ( 125 + 100 )
= 2 ( 225)
= 420m
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Answer 2

Answer:

Perimeter = 90m

Step-by-step explanation:

Let the length and breadth of the rectangular plot be 5x and 4x

Area of rectangle = length × breadth

→ 500 = 4x × 5x

→ 500 = 20x²

→ 500/20 = x²

→ 25 = x²

→ √25 = x = 5

Therefore,

Length = 5x = 5×5 = 25m

Breadth = 4x = 4×5 = 20m

Now, we will find the perimeter of the plot:

Perimeter of rectangle = 2(l×b)

= 2(25 + 20)m

= 2× 45

= 90m Ans