Question

the area of the rectangular plot is 2400 square metres and the sides are in the ratio 3:2.what is the perimeter​

Answer 1

Solution!!

Area of the rectangular plot = 2400 m²

Ratio of sides = 3:2

Let the sides be 3x and 2x.

Length = 3x and Breadth = 2x

• Area = Length × Breadth

→ 2400 m² = 3x × 2x

→ 2400 m² = 6x²

→ 2400 m² ÷ 6 = x²

→ x² = 400 m²

→ x = √400 m²

• x = 20 m

→ 3x = 3 × 20 m = 60 m

→ 2x = 2 × 20 m = 40 m

Length = 60 m and Breadth = 40 m

• Perimeter = 2(Length + Breadth)

→ Perimeter = 2(60 m + 40 m)

→ Perimeter = 2(100 m)

• Perimeter = 200 m

Answer 2

Answer:

Perimeter of rectangular plot is 200 m.

Step-by-step explanation:

Given, area of rectangular plot = 2400 sq. m

side in ratio = 3:2

let, the lenght of rectangular be 3x

and breadth of the rectangular plot be 2x

Now,

Area of rectangular plot = l × b

2400 = (3x) × (2x)

$2400 = 6x {}^{2}$

$\frac{2400}{6} = x {}^{2}$

$400 = x {}^{2}$

$\sqrt{400} = x$

$20m = x$

Therefore, length = 3x

= 3(20)

= 60 m

breadth = 2x

= 2(20)

= 40 m

Now,

Perimeter of rectangular plot = 2 ( l + b )

= 2 ( 60 + 40 )

= 2 (100)

= 200 m

Therefore, the Perimeter of rectangular plot is 200 m.