Algebra Help

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

$$area = \left(\dfrac {Y + Y +4}{2} \right)* Y\\\\\\ =\left( \dfrac {2Y +4}{2} \right) * Y\\\\ =\left( \dfrac {2Y}{2}+ \dfrac {4}{2} \right) * Y\\\\ =\left( Y +2 \right) * Y\\\\$$