Answer:
The length of each side of the square is 5 meters
Step-by-step explanation:
The correct question is
A figure is formed by a square and a triangle. total area is 32.5 m^2. the area of the triangle is 7.5 m^2. what is the length of each side of the square?
we know that
The total area of the figure is equal to the area of triangle plus the area of square
so
The area of square is equal to the area f the figure minus the area of triangle
Let
A ----area of the square
[tex]A=32.5-7.5=25\ m^2[/tex]
Find the length side of the square
Remember that the area of the square is
[tex]A=b^2[/tex]
where
b is the length side of the square
substitute
[tex]25=b^2[/tex]
square root both sides
[tex]b=5\ m[/tex]
therefore
The length of each side of the square is 5 meters
