When a family with two adults and three children bought tickets for an amusement park they paid total of 56.50. The next family
in line, with four children and one adult, paid 49.50. Find the adult and child ticket prices by writing and solving a system of equations.
1 answer:
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Answer:
The length of each side of the larger square is<u> 8 </u>centimeter.
Step-by-step explanation:
Given:
The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other square.
Now, to find the length of each side of the larger square.
Let be the length of the smaller square.
So, the length of the larger square =
Now, we find the areas of the square by putting formula:
The area of smaller square = length²
The area of larger square = (length)²
As, given:
The combined area of two squares is 80 square centimeters.
According to question:
<em>So, dividing both sides by 5 we get:</em>
<em>Using square root on both sides we get:</em>
And, to get the length of each side of the larger square we substitute the value of :
<u>The length of larger square = 8 centimeter</u>
Therefore, the length of each side of the larger square is 8 centimeter.