13. If the side of a square is doubled. Find the ratio of (a) Perimeter of Original Square to new square formed. (b) Area of Original Square to new square formed.
Answers
Answer:
the ratio of Perimeter of Original Square to new square formed is 1/2
the ratio of Area of Original Square to new square formed is 1/4
Step-by-step explanation:
Solution :
Let side of original square be X
then side of new square = 2X
a) Perimeter of original square = 4 x side
= 4X
Perimeter of new square = 4 x side
= 4 x 2X
= 8X
the ratio of perimeter of original to new square = 4X/8X
= 1 / 2
b) Area of original square = side x side
= X x X
= X²
Area of new square = side x side
= 2X x 2X
= 4 X²
the ratio of area of original square to the new square = X²/ 4X²
= 1/4