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sertanlavr [38]
2 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?(sides are 12cm, 3,, 9 )
144
108
72
66
Mathematics
2 answers:
artcher [175]2 years ago
7 0

Answer:

Option C (72)

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) -

= 108 -

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

Hope this helps!! -Mina

Aneli [31]2 years ago
5 0
C. 72

Hope this helps.
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Answer:

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Step-by-step explanation:

From the diagram in the question above,

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3 years ago
Classwork 12.1 surface area
s344n2d4d5 [400]

Answer:

6) LA = 90 units² and SA = 202 units²

7) LA = 377 units² and SA = 477.5 units²

8) LA = 208 units² and SA = 232 units²

9) LA = 455 units² and SA = 591 units²

Step-by-step explanation:

* Lets revise the rules of lateral area and surface area

- Lateral area of the solid = perimeter of its base × its height

- Surface area = lateral area + 2 × area of its base

* Now lets solve the problems

6) The solid is a rectangular prism

- Its base is a rectangle with dimensions 8 units and 7 units

- Its height is 3 units

∵ Perimeter of the rectangle = 2(L + W)

∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units

∴ LA = 30 × 3 = 90 units²

∵ Area of the rectangle = L × W

∴ Area of the base = 8 × 7 = 56 units²

∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²

7) The solid is a cylinder

- Its base is a circle with diameter 8 units

∴ Its radius = 8 ÷ 2 = 4 units

- Its height is 15 units

∵ The perimeter of the circle is 2πr

∴ The perimeter of the base = 2π(4) = 8π

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∴ The area of the base = π(4)² = 16π

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∴ Perimeter of the base = 5 + 5 + 6 = 16 units

∴ LA = 16 × 13 = 208 units²

∵ Area of the triangle = 1/2 × base × height

∴ Area of the base = 1/2 × 6 × 4 = 12 units²

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9) The solid is a prism

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∵ Perimeter of the trapezium is the sum of its sides

∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units

∴ LA = 35 × 13 = 455 units²

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∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²

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Answer:

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