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Fittoniya [83]
3 years ago
8

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 squar

e. What is the length of each side of the larger square?
Mathematics
1 answer:
olganol [36]3 years ago
8 0

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 s be the length of the smaller square.

So, the length of the larger square = 2s.

Now, we find the areas of the square by putting formula:

The area of smaller square = length²  =s^2.

The area of larger square = (length)²  =(2s)^2=4s^2.

As, given:

The combined area of two squares is 80 square centimeters.

According to question:

s^2+4s^2=80\\5s^2=80

<em>So, dividing both sides by 5 we get:</em>

s^2=16

<em>Using square root on both sides we get:</em>

s=4\ centimeter.

And, to get the  length of each side of the larger square we substitute the value of s:

2s=2\times 4=8\ centimeter.

<u>The length of larger square = 8 centimeter</u>

Therefore, the length of each side of the larger square is 8 centimeter.

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