Question

Square 1 has a side length of x, and square 2 has a side length of y. Square 2 is formed by joining the midpoints of the sides of square 1 in order. If x = 2, find the ratio of the area of square 1 to the area of square 2.

Answer 1

I believe is will be 1:2

Answer 2

The ratio of the area of square 1 to the area of square 2 is 4:1.

Explanation:

Area of a square can be calculated by; A = length × length

For square 1, area A = 2 × 2

= 4

Since square 2 is formed by joining the midpoints of the sides of square 1, thus y = 1.

Area of square 2 = 1 × 1

= 1

Thus the ratio,
`(A_(1) )/(A_(2) )` =
`(4)/(1)`

Therefore, the ratio of the area of square 1 to the area of square 2 is 4:1.