Question

find the area of the rectangle of the perimeter of the rectangle is 100 cm and the ratio of its length and breadth in 3:2​

Answer 1

Answer:

If the length & breadth are 3 & 2 units respectively, the perimeter => 2(Length+Breadth) = 2(3+2) = 10 units.

Here, 10 units correspond to 100 cm,

So 1 unit corresponds to 100/10 = 10cm.

Thus, length and breadth are actually 3*10 = 30 cm and 2*10 = 20 cm respectively.

Required Area = Length * Breadth = 30*20 = 600 sq cm.

Answer 2

Answer :-

The area of rectangle is 600cm.

Step-by-step explanation:

To Find :-

• The area of rectangle.

★ Solution

Given that,

• The length and breadth are in the ratio of 2:3
• The perimeter of rectangle = 100cm.

∴ The length and breadth of rectangle :-

We know,

Perimeter of rectangle = 2 ( length + breadth ),

⇒ 2 (2x + 3x) = 100

⇒ 2x + 3x = 100/2

⇒ 2x + 3x = 50

⇒ 5x = 50

⇒ x = 50/5

⇒ x = 10

The value of x is 10. The length and breadth of rectangle is :-

• (2x) = 2*10 = 20cm
• (3x) = 3*10 = 30cm

Now, A . T . Q,

• The area of rectangle :-

We know,

Area of rectangle = length × breadth,

⇒ 20cm × 30cm

⇒ 600cm²

Hence, The area of rectangle is 600cm².