Question

The breadth and length of a rectangle are in the ratio 4.5 and its area is 320cm². what are the breadth and length?​

Answer 1

Answer:

20 cm

Step-by-step explanation:

Sides of the rectangle are in the ratio of 4:5

Let the length l=5x

and the breadth b=4x

Now, perimeter =2(l+b)=90cm

2(5x+4x)=90

2(9x)=90

18x=90

x=5

Therefore, Length l=5x=25cm

and the breadth b=4x=20cm

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Answer 2

Correct Question:-

• The breadth and length of a rectangle are in the ratio 4 : 5 and its area is 320cm². What are the measures of breadth and length?

Given:-

• Breadth : Length = 4 : 5

• Area of Rectangle = 320 cm²

To Find:-

• It's Length and Breadth

Formula used:-

• Area of Rectangle = Length × Breadth

Solution:-

Let the length and breadth be 5x and 4x.

So,

$\implies\: Area = Length \times Breadth$

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

$\implies\:320 = 20x^2$

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

$\implies\:x^2 = 16$

$\implies\:x = \sqrt{16}$

$\implies\:x = 4$

Then,

• Length = 5x = 5×4 = 20cm.

• Breadth = 4x = 4×4 = 16cm.

Hence, Length and Breadth of the given Rectangle is 20cm and 16cm respectively.

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