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
1 answer:
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 = = 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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Answer:
23, 25, and 27.
Step-by-step explanation:
Let the first odd integer be <em>k</em>.
Since the three numbers are consecutive odd integers, the second is given by (<em>k</em> + 2) and the third by (<em>k</em> + 4).
Their sum is 75. Hence:
Solve for <em>k</em>. Combine like terms:
Subtract:
And divide:
Therefore, the first number is 23.
In conclusion, the three consecutive, odd integers are 23, 25, and 27.