The figure shown is made up of a square & a triangle. Express the area of the figure in terms of Y
Total Area = area of the square + area of the triangle = y^2 + (1/2)(4)(y) =
(y^2 + 2y)cm^2
The figure shown is made up of a square & a triangle. Express the area of the figure in terms of Y
The area of a trapezoid is given by the formula
where
b1, b2 are the lengths of each base
h is the altitude (height)
b1 = Y
b2 = Y + 4
h = Y
$$area = \left(\dfrac {Y + Y +4}{2} \right)* Y\\\\\\
=\left( \dfrac {2Y +4}{2} \right) * Y\\\\
=\left( \dfrac {2Y}{2}+ \dfrac {4}{2} \right) * Y\\\\
=\left( Y +2 \right) * Y\\\\$$