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2 years ago

20 POINTS

Mathematics

1 answer:

denis-greek [22]2 years ago

8 0

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:

$\sqrt{841}$ = 29

$\sqrt{400}$ = 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

$\sqrt{a^2} = \sqrt{441}$

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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