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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 sq cm
b) 108 sq cm
c) 72 sq cm
d) 36 sq cm 
*If you do answer my question, could you tell me how and why that's your answer?

Michael is making a card for his dads birthday Hes shaded a triangular section on the card where he wants to write his dad a message What is the area of the par class=

Respuesta :

First, you find the area of the triangle. Which is 6 x 12 x .5 = 36.
Then, you find the area of the rectangle. Which is 9 x 12 = 108
Finally, you subtract the triangle from the rectangle and you get 72.
Hope this helped.

Answer:

Option c) 72 cm²

Step-by-step explanation:

In the figure attached we can see a rectangle ABCD with length 12 cm and width 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) - [tex]\frac{1}{2}(BE)(EF)[/tex]

= 108 - [tex]\frac{1}{2}(6)(12)=108-(3)(12)=72[/tex]

Option c) 72 cm² is the area of non shaded part.

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