Answer:
Step-by-step explanation:
Square A:
Area = 225 square feet
side *side = 225
Side =√225
[tex]=\sqrt{15*15}[/tex]
Side of square A = 15 ft
Square B:
Area = 400 square feet
Side =√400
= [tex]\sqrt{20*20}[/tex]
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 = [tex]\sqrt{625} =\sqrt{25*25}[/tex] = 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
