Question

If the area of square

A is 225 f12 and the
area of square B is 400
ft2, what is the area of
square C?

Answer 1

Explanation:

Square A:

Area = 225 square feet

side *side = 225

Side =√225

`=√(15*15)`

Side of square A = 15 ft

Square B:

Area = 400 square feet

Side =√400

=
`√(20*20)`

Side of square B = 20 ft

Use Pythagorean theorem for finding the side of Square C.

Side of square A is the altitude ; side of square B is the base and side of square C will be the hypotenuse

hypotenuse² = base² + altitude²

= 15² + 20²

= 225 + 400

= 625

hypotenuse =
`√(625) =√(25*25)` = 25 ft

Area of square C = 625 square ft

In short,

Area of square C = area of square B + area of square A

= 400 + 225

= 625 square ft