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Keith_Richards [23]
3 years ago
13

The combined area of two squares is 45 cm². Each side of one square is twice as long as a side of the other square. What is the

length of each side of the larger square?
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

6 cm

Step-by-step explanation:

Let the smaller square have side of x then the larger square has side 2x

Sum the areas of the 2 squares and equate to 45

x² + (2x)² = 45

x² + 4x² = 45

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = \sqrt{9} = 3

side of smaller square = 3 cm

side of larger square = 2 × 3 = 6 cm

check : 3² + 6² = 9 + 36 = 45 cm² ← correct

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