Question

7.The ratio between length and breadth of a rectangle is 5:4 and its area is 320cm^(2) .The breadth of the rectangle is​

Answer 1

Answer:

Breath = 4root 10 I am right

Answer 2

Given:

• Ratio between length and breadth = 5:4
• The area = $320 \: {cm}^{2}$

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Need to find:

• The breadth of rectangle =?

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Solution:

Let the common multiple of length and breadth be x,

Then:

• Length = 5x
• Breadth = 4x

We know,

Are of a rectangle = length × breadth

→ Area of rectangle = 5x × 4x

→ Area of rectangle = $20 {x}^{2}$--i

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Given area of rectangle = $320 {cm}^{2}$---ii

Equating i and ii we get,

$320 = 20 {x}^{2}$

→${x}^{2} = 320 \div 20$

→${x}^{2} = 16$

→$x = \pm 4$

The length or breath can't be negative so x= 4

Now

Breadth = 4x

→Breadth= 4 × 4 cm

→Breadth = 16cm