Question

The sides of a rectangular piece of paper are in the ratio 2:3. If the area is
150 sq. cm, find the length of its sides. (Hint: 5^2 = 25)​

Answer 1

Answer:

Let the length be 2x and breadth 3x.

Given -

• Area = 150 sq. cm

Area = Length × Breadth

→ 150 = 2x × 3x

→ 150 = 6x²

→ x² = 150/6

→ x² = 25

→ x = √25

→ x = 5

Put the value of x in both the sides -

• Length = 2x = 2 × 5 = 10 cm
• Breadth = 3x = 3 × 5 = 15 cm

Therefore, the length is 10 cm.

Answer 2

Answer:

Answer:

• The sides are 10cm and 15cm

Given:

• Area of the rectangle=150sq.cm
• The sides of a rectangular piece of paper are in the ratio=2:3

To find:

• The length and breadth of the rectangle=?

Solution:

→ Let the sides of a rectangle are 2x and 3x respectively.

Area of the rectangle=150sq.cm

$l \times b = 150$

$2x \times 3x = 150$

$6 {x}^{2} = 150$

${x}^{2} = \frac{150}{6} = \frac{75}{3} = 25$

$x = 5cm$

The value of x is 5cm.

$length = 2x = 2(5) = 10cm$

$breadth = 3x = 3(5) = 15cm$