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?

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

25

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x