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kykrilka [37]
2 years ago
9

The combined area of two sqaures is 45 sqaure centimeters. Each side of one sqaure is twice as long as a side of the other sqaur

e.What is the length of each side of the larger square
Mathematics
1 answer:
VMariaS [17]2 years ago
7 0

Answer:the length of each side of the larger square is 6 centimeters.

Step-by-step explanation:

Let x represent the length of each side of the small square.

Let y represent the length of each side of the Large square.

The area of the small square is x^2

The area of the large square is y^2

The combined area of two squares is 45 square centimeters. This means that

x^2 + y^2 = 45 - - - - - - - - - - -1

Each side of one square is twice as long as a side of the other square. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

x^2 + (2x)^2 = 45

x^2 + 4x^2 = 45

5x^2 = 45

x^2 = 45/5 = 9

x = √9 = 3

Substituting x = 3 into y = 2x, it becomes

y = 2 × 3 = 6 centimeters

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