Question

PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

Answer 1

Answer:

$31\:\text{square units}$

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by $A=\frac{1}{2}bh$ and the area of a trapezoid is given by $A=\frac{b_1+b_2}{2}\cdot h$ (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): $\frac{1}{2}\cdot 4\cdot 4=8$

Area of second triangle (smaller triangle to the figure's right ): $\frac{1}{2}\cdot 2\cdot 5=5$

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): $4\cdot 2 =8$

Area of first triangle (larger triangle to the figure's left): $5\cdot 2=10$

Thus, the area of the entire figure is:

$8+5+8+10=\boxed{31\:\mathrm{units^2}}$