Question

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?
A) 14:9
B) 13:12
C) 16:5
D) 17:13

Answer 1

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Answer 2

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Here is your answer.
Let the side of the square is x cm

Area of the square is 1024 sq.cm

Area of the square = ${side}^{2}$

$x {}^{2} = 1024 \\ x = \sqrt{1024} \\ x = 32 \: cm$
Now the length of the rectangle is 2x

= 2×32
= 64 cm

and breadth of the rectangle is = x -12

= 32- 12
= 20 cm

Ratio of the Length to breadth of the rectangle is

$= \frac{64}{20} \\ = \frac{16}{5}$
Ratio is 16: 5

Option (C) 16:5 is your answer

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