Question

the ratio between length and breadth of rectangle is 5:4 and its area is 320 cm square the breadth of the rectangle is ​

Answer 1

Answer :

The breadth of the rectangle is 16 cm.

Step-by-step explanation :

To Find,

• The breadth of the rectangle

Solution,

Given that,

• The ratio between lenght and breadth of the rectangle is 5 : 4
• The area of the rectangle is 320 cm²

Let us assume the lenght and breadth as 5x and 4x respectively.

As we know that,

Area of rectangle = Length × Breadth

Therefore,

» 320 = 5x × 4x

» 320 = 20 x²

» x² = 320 / 20

» x² = 16

» x = √16

» x = 4

Therefore, the value of x is 4.

Breadth of the rectangle is, ( we assumed breadth as 4x )

» 4x

» 4 × 4

» 16

Hence, the breadth of the rectangle is 16 cm

Answer 2

Given :-

• Ratio between length and breadth = 5 : 4
• Area is = 320 cm²

To find :-

• Breadth of the Rectangle

Assume that :-

• Ratio be x from.
• 5x and 4x as Length and Breadth respectively.

Solution :-

● We know that Area of rectangle is given by

✵ Area = Length × Breadth ✵

● So, value of x is

⇒ Area = Length × Breadth

⇒ 320 = 5x × 4x

⇒ 320 = 20x²

⇒ 20x² = 320

⇒ x² = 320/20

⇒ x² = 16

⇒ x = √16

⇒ x = 4

■ So, Breadth is :-

⇒ 4x = 4 × 4

⇒ 16 cm

Breadth of the rectangle is 16 cm.

—————————————————————

■ Let's find Length also :-

⇒ 5x = 5 × 4

⇒ 20 cm

VERIFICATION

⇒ Area = Length × Breadth

⇒ 320 = 16 × 20

⇒ 320 = 320

Hence, Value of x is correct and Length and Breadth is also correct.