Question

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

Answer 1

Answer: everyone is saying c or d. I’m not completely sure.

Explanation:

Answer 2

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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