What is the simplified expression for this: Area of a triangle with the base 1/2y and the height 2/5y+4
area=1/2 * y *( 2/5 * y + 4)
= y^2/5 + 2y
Area of Triangle = (1/2) x base x height
A = (1/2)(y/2)(2y/5+4)
rearrange
A = (1/10)y^2 + y
That is, assuming that 1/2y means (1/2)y rather than 1/(2y).
To find the simplified expression for the area of a triangle with the base 1/2y and the height 2/5y+4, we can use the formula for the area of a triangle, which is given by:
Area = (1/2) x base x height
In this case, the base is 1/2y and the height is 2/5y+4.
Substituting these values into the formula, we get:
Area = (1/2) x (1/2y) x (2/5y+4)
To simplify this expression, we can multiply the fractions and distribute the 1/2:
Area = (1/2) x (1/2y) x (2/5y+4)
= 1/4y x 2/5y + 1/4y x 4
= 2/20y^2 + 4/4y
= 1/10y^2 + 1y
Therefore, the simplified expression for the area of the triangle is 1/10y^2 + y.