Question

the ratio between length and breadth of a rectangle is 5 is to 4 and its area is 320 CM square the breadth of rectangle is dash1 प्लस 3 प्लस 5 प्लस 7 प्लस 10 प्लस 1 प्लस 23 डेज ​

Answer 1

Answer:

Given :-

• Ratio of length to breadth = 5:4
• Area = 320 cm

To Find :-

Breadth of rectangle

Solution :-

Let us assume the dimensions be 5x and 4x

As we know that

$\huge \tt \: Area = l \times b$

$\sf \: 320 = 5x \times 4x$

$\sf \: 320 = 20 {x}^{2}$

$\sf \: \dfrac{320}{20} = {x}^{2}$

$\sf \: 16 = {x}^{2}$

$\sf \: 4 = x$

As we have assumed breadth as 4x.

Therefore :-

Breadth = 4x = 4(5) = 20 cm

Answer 2

Given:-

• The length and breadth are in the ratio of 5 : 4.
• The area of rectangle is 320.

To Find:-

• Find the value of the x.

Solution:-

➭ Area = l × b

➭ 320 = 5x × 4x

➭ 320 = 20x²

➭ x² = 320/20

➭ x² = 16

➭ x = √16

➭ $\tt { \boxed{ \: x \: = \: 4 \: } }$

So,

The length is 5x = 5(4) => 20

The breadth is 4x = 4(4) => 16

Verification:-

➭ 5x × 4x = 320

➭ 5(4) × 4(4) = 320

➭ 20 × 16 = 320

➭ 320 = 320