Question

The side of a rectangular piece of paper are in the ratio 2:3 if the area is 150 sq. cm find the length of its side.

Answer 1

Solution

Length of the rectangle is 10 cm

Given

• The ratio of its sides is 2:3

• Area of the Rectangle = 150 cm²

Let x be the common multiple of their sides .

• Length would be 2x
• Breadth would be 3x

To fInD

Length of the Rectangle

$\boxed{\boxed{\sf Area \ Of \ Rectangle = l \times b }}$

$\longrightarrow \: \sf \: (2x)(3x) = 150 \\ \\ \longrightarrow \: \sf \: 6 {x}^{2} = 150 \\ \\ \longrightarrow \: \sf \: {x}^{2} = 25 \\ \\ \longrightarrow \: \sf \: x = \pm \: \sqrt{25} \\ \\ \longrightarrow \: \boxed{ \boxed{ \sf \: x = 5 \: cm}}$

• Length would be : 2(5) = 10 cm

• Breadth would be : 3(5) = 15 cm

Answer 2

Answer:

Step-by-step explanation: