Question

the side of a rectangular piece of paper are in the ratio 2:3 If area is 150 sq . find the length of ots sides ​

Answer 1

Step-by-step explanation:

$let \: 2x \: and \: 3x \: be \: the \: sides \: of \: retangular. \\ area \: of \: rectangular = l \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 150 = 2x \times 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6 {x}^{2} = 150 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} = 25 = x = 5 \: units \\ \\ sides \: are \: 10 \: unit \: and \: 15 \: unit \\ \\ hope \: it \: will \: help \: you.$

Answer 2

Answer:

The length of the rectangle is 15 units and breadth 10 units.

Step-by-step explanation:

Given -

The side of Rectangleare in the ratio = 2:3

The area = 150.

To Find -

The length of Sides.

Solution -

Let the Sides be -

• Breadth as 2x
• Length as 3x

★ Area = $\boxed{\sf{Breadth \times Length}}$

⇒ 150 = 2x × 3x

⇒ 150 = 6x²

⇒ x² = $\tt{\dfrac{150}{6}}$

⇒ x² = 25

⇒ x = $\tt{\sqrt{25}}$

⇒ x = 5

$\rule{300}{1.5}$

★ Value is 2x

⇒ 2(5)

⇒ 10

Breadth = 10 units.

$\rule{300}{1.5}$

★ Value of 3x

⇒ 3(5)

⇒ 15

Length = 15 units

$\therefore$ The length of the rectangle is 15 units and breadth 10 units.