What is the area of this figure?
A. 351 cm2
B. 243 cm2
C. 297 cm2
D. 486 cm2

Answer:
To solve, you must split the figure into 2 parts --> a rectangle and a trapezoid. The separating 'line' will be where the figure indents and starts to jut out. That separating 'line' will be 9 cm long.
A = bh
A = 9(15)
A = 135
The area of the rectangle is 135 cm².
A = [tex]\frac{a + b}{2}h[/tex]
A = [tex]\frac{9+18}{2}12[/tex]
A = [tex]\frac{27}{2}12[/tex]
A = [tex]\frac{13.5}{1}12[/tex]
A = [tex]13.5(12)[/tex]
A = [tex]162[/tex]
The area of the trapezoid is 162 cm².
To find the area of the figure, you must add the area of the rectangle and the area of the trapezoid together.
A = 135 cm² + 162 cm²
A = 297 cm²
I hope this helps!
- sincerelynini
Answer:
297 cm2
Step-by-step explanation:
15 * 9 = 135
(9 + 18) / 2 * 12 = 162
135 + 162 = 297