Question

The length and breadth of rectangle is in the ratio of 4:3. if the perimeter of rectangle is 2100.com then find its area?​

Answer 1

Answer:

270000 cm²

Step-by-step explanation:

As per the provided information in the given question, we have :

• Length and breadth of rectangle is in the ratio of 4:3.
• Perimeter of rectangle is 2100 cm.

We've been asked to calculate the area of rectangle.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀» According to the question, the length and breadth of rectangle is in the ratio of 4:3. So, let's suppose the length and breadth as 4x and 3x respectively. Now, we have been also given that the perimeter of rectangle is 2100 cm. We'll use the perimeter of the rectangle as an equation to calculate the value of x and then the value of length and breadth.

As we know that,

★ Perimeter of rectangle = 2(Length + Breadth)

→ 2100 cm = 2(4x + 3x)

→ 2100 cm = 2(7x)

→ 2100 cm = 14x

→ $\sf\dfrac{2100}{14}$ cm = x

→ 150 cm = x⠀⠀⠀⠀⠀⠀⠀⠀ … ( 1 )

Now,

→ Length = 4x

Substitute the value of x from ( 1 ).

→ Length = 4(150) cm

→ Length = 600 cm

And,

→ Breadth = 3x

→ Breadth = 3(150 cm)

→ Breadth = 450 cm

Now, let's calculate the area of rectangle. As we know that,

★ Area of rectangle = Length × Breadth

→ Area of rect. = 600 cm × 450 cm

→ Area of rect. = 270000 cm²

Therefore, the area of the rectangle is 270000 cm².

$\rule{200}2$

Answer 2

In context to questions asked,

We have to determine the value of Area of rectangle.

As per question,

It is given that,

Perimeter of rectangle = 2100 cm.

Ratio between length and width of the rectangle = 4:3.

So, let the length and breadth of rectangle = 4x and 3x respectively.

So, we know that,

$perimeter = 2(l + b)$

So, putting above value in equation of perimeter,

We will get,

$perimeter \: = 2(4x +3x) \\ perimeter = 2 \times 7x \\ 14 x = 2100 \\ x = \frac{2100}{14} = 150$

So, length and width of rectangle will be 600 cm and 450 cm.

So, area of rectangle will be,

$area = l \times b = 600 \times 450 = 270000 {cm}^{2}$