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Rom4ik [11]
4 years ago
6

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?

Mathematics
2 answers:
arlik [135]4 years ago
7 0
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.
saveliy_v [14]4 years ago
4 0

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) - \frac{1}{2}(BE)(EF)

= 108 - \frac{1}{2}(6)(12)=108-(3)(12)=72

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

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Answer:   Sam = $225      George = $300

<u>Step-by-step explanation:</u>

NOTES:

Sam: s

George: g = s + 75

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a.

The two equations that can be created are "George" and Together"

The system is: \left \{ {{\text{g = s + 75}} \atop {\text{s + g = 525}}} \right.

b.

see attached graph

c.

The intersection of the two lines is at (225, 300).  Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.


BONUS:

This system can also be solved algebraically using the substitution method.

Replace "g" with "s + 75" into the second equation:

s + (s + 75) = 525

2s + 75 = 525

2s = 450

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Next, input the s-value into the George equation to solve for g:

g = s + 75   = (225) + 75   = 300

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