Question

if the side of a square is doubled . find the ratio of resulting square to that of the given square .

plz solve this sum step by step ​

Answer 1

Answer:

it is given to us that the side of the square is doubled.

then we'll find the following

• ratio of lengths
• ratio of areas
• ratios of perimeters

Step-by-step explanation:

• ratio of areas

let the square of length be 'a'.

then its area will be a²

when its length is doubled: 2a

area: (2a)²=4a² .              thus the ratio is 4:1

• ratio of lengths

the square of length a has its length doubled: 2a

thus, the ratio of lengths are 2:1

• ratio of perimeter

perimeter of square of length a: 4a

perimeter of square of length 2a :  8a

thus the ratio is 4a:8a .      ⇒ 1:2

Answer 2

Side of Square = x

Side is double = 2x

$ratio \: of \: square = \frac{2x \times 2x}{x \times x} \\ = \frac{4}{1} = 4:1$