Need help pls solve Find the area of the figure.

Mathematics

1 answer:

vampirchik [111]2 years ago

5 0

Answer:

32 ft²

Step-by-step explanation:

Given the right angle and equal sides, we have a square. The diagonal is the hypotenuse of a right triangle, so we can use the Pythagorean Theorem to calculate the side lengths, or realize that the side lengths Squared will be the area of the square.

c² = a²+b² Since a² equals b², the equation becomes c² = 2a²

8² = 2a²

64/2 = a²

32 = a², the area of the square.

The side lengths of the square are √32

about 5.657 feet. If we square that square root, we get the area of the square, 32 square feet.

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