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? Select one: a. 100 m b. 80 m c. 95 m d. 90 m

Answer 1

Answer:

d) 90m

Step-by-step explanation:

Let the ratio be 5x:4x

Then area = Length x Breadth = 5x x 4x = $20x^{2}$

But, area = 500$m^{2}$

∴, 20$x^{2}$ = 500

$x^{2} = 25$

x = ±5

But distance has to be positive, so

x = 5

Length = 5x = 25m

Breadth = 4x = 20m

Perimeter = 2(l+b) = 2(45) = 90m

Answer 2

The Perimeter of the plot is 90 m.

Given :

Ratio of sides = 5 : 4

Area of the rectanglular plot = 500 cm²

To Find :

Perimeter of the rectangular plot.

Solution :

Consider the :

The length and breadth of the rectangle plot as - 5x and 4x.

According to the question,

⟹ Area of rectangular plot = 500 m²

⟹ 5x × 4x = 500

⟹ 20x² = 500

⟹ x² = 500/20

⟹ x² = 25

⟹ x = 5

We already considered that :

⟹ Length = 5x

⟹ Length = 5 × 5

⟹ Length = 25 m.

&

⟹ Breadth = 4x

⟹ Breadth = 4 × 5

⟹ Breadth = 20 m.

Now,

★ Perimeter of the rectanglular plot :

We know that:

⟹ 2( length + breadth)

⟹ 2( 25 + 20 )

⟹ 2 × 45

⟹ 90 m

Therefore,

The perimeter of the rectangular plot is 90 m.