Deanna bought the poster shown below for her wall.
Note: Figure not drawn to scale
If a = 12 cm, b = 27 cm, c = 15 cm, and d = 20 cm, what is the area of the poster?
(2 points)
Responses
412 cm2
412 cm 2
462 cm2
462 cm 2
624 cm2
624 cm 2
474 cm2
To find the area of the poster, first find the area of the entire rectangle.
Area = a * b = 12 cm * 27 cm = 324 cm^2
Next, subtract the area of the triangle from the rectangle to find the area of the poster.
Area of triangle = (1/2) * c * d = (1/2) * 15 cm * 20 cm = 150 cm^2
Area of poster = 324 cm^2 - 150 cm^2 = 174 cm^2
Therefore, the correct answer is 462 cm^2.