Question

The sides of a rectangular plot are in the ratio 5:4 and its area is equal to 500sq.M. The perimeter of the plot is

Answer 1

Answer:

Perimeter of rectangular plot is 90 m.

Step-by-step explanation:

Given :

Sides of a rectangular plot are in the ratio 5 : 4.

Area of rectangular plot = 500 m²

To find :

Perimeter of rectangular plot.

Solution :

Let the sides be 5x and 4x.

Then, Area = 500 m²

⇒ Length × Breadth = 500 m²

⇒ 5x × 4x = 500 m²

⇒ 20x² = 500

⇒ x² = 500/20

⇒ x² = 25

⇒ x = 5

Hence,

• Length (5x) = 25 m
• Breadth (4x) = 20 m

Now, Perimeter = 2(Length + Breadth)

⇒ 2(25 + 20)

⇒ 2(45)

⇒ 90

Hence, the perimeter of rectangular plot is 90 m.