Select the correct answer. michael is making a card for his dad\'s birthday. he\'s shaded a triangular section on the card where he wants to write his dad a message. what is the area of the parts of the card that are not shaded? a. 144 square centimeters b. 108 square centimeters c. 72 square centimeters d. 36 square centimeters
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charlescoleman229
1 year ago
1 answer - 0 helps
Answer: everyone is saying c or d. I’m not completely sure.
Explanation:
The area of the parts of the card that are not shaded Option c) 72 cm²
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
In the figure attached, we can see a rectangle ABCD with a length of 12 cm and a width of 9 cm.
A triangle PEF with height BE and base EF.
Since side AE = 3 cm, so side EB = EC = 9 - 3 = 6cm
and EF = AD = 12 cm
Now we will find the area of of the parts of the card that are not shaded.
Area of parts that are not shaded = Area of rectangle - area of shaded triangle
= (12×9) - (1/2)(BE)(EF)
= 108 - (1/2)(6)(12)
Option c) 72 cm² is the area of the non-shaded part.
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