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:
[tex]\sqrt{841}[/tex] = 29
[tex]\sqrt{400}[/tex] = 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
[tex]\sqrt{a^2} = \sqrt{441}[/tex]
a = 21
Now the side a of the triangle is also a side of the small square therefore
21^2 = 441