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:
The ratio of the area of square 1 to the area of square 2 is 4:1.
Step-by-step 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, \(\frac{A_{1} }{A_{2} }\) = \(\frac{4}{1}\)
Therefore, the ratio of the area of square 1 to the area of square 2 is 4:1.