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 perimeter of square 1 to the perimeter of square 2.
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Answer:
√2 : 1
Step-by-step explanation:
Relation between x and y
y² = (x/2)²+(x/2)² = x²/2
=> x = y√2..................(1)
perimeter of square 1 = 4x
= 4y√2............................ from(1)
perimeter of square 2 = 4y
=> ratio of perimeter of sq1 : sq2
= 4y√2 : 4y
= √2 : 1
hope this helps you
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