20 POINTS
1 answer:
Answer:
c. 441ft^2
Step-by-step explanation:
Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:
= 29
= 20
Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2
a^2 + b^2 = c^2
a^2 + 20^2 = 29^2
a^2 + 400 = 841
subtract 4 from both sides
a^2 = 441
square root both sides
a = 21
Now the side a of the triangle is also a side of the small square therefore
21^2 = 441
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Answer: The length of the square is
Step-by-step explanation:
By definition, the area of a Regular polygon can be calculated with the following formula:
Where "s" the length of any side of the polygon and "n" is the number of sides .
According to the information given in the exercise, you know that:
Since an hexagon has six sides, you know that:
Therefore, its area is:
The formula to find the area of a square is:
Where "s" is the length of any side of the square.
Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".
Then you get: