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Mathematics 22 Online
OpenStudy (pleasehelp2346677):

PLEASE HELP WILL MEDAL AND FAN

OpenStudy (pleasehelp2346677):

OpenStudy (mathstudent55):

That net has 3 rectangles and two triangles. You need to find the areas of the lateral faces and add them up. Which faces are the bases and which faces are the lateral faces?

OpenStudy (pleasehelp2346677):

8 cm, 15 cm, and 17 cm are the lateral faces. And the bases are at the sides, the height is 11 cm @mathstudent55

OpenStudy (mathstudent55):

You have 3 rectangles and 2 triangles. Can you tell me which are bases and which are lateral faces? I don't understand your answer because the same rectangles that have lengths 8 cm, 15 cm and 17 cm all have the width 11 cm.

OpenStudy (mathstudent55):

Do you understand the idea of a net for a solid?

OpenStudy (pleasehelp2346677):

Okay the 3 rectangles in the middle are the lateral faces, correct?

OpenStudy (mathstudent55):

Great. Now I understand. you are correct.

OpenStudy (mathstudent55):

The triangles are the bases.

OpenStudy (pleasehelp2346677):

Yes

OpenStudy (mathstudent55):

Just find the areas of the three rectangles and add them up.

OpenStudy (pleasehelp2346677):

Do I find that by multiplying each face by the height? Or add all of the faces together?

OpenStudy (mathstudent55):

You can do two ways: One way: add all the rectangles' lengths together to find the length of the large rectangle formed by the three smaller rectangles. Then multiply bu the width. Other way: find the area of each small rectangle, and add them all up.

OpenStudy (pleasehelp2346677):

8 + 15 + 17 = 40

OpenStudy (pleasehelp2346677):

40 * 11 = 440

OpenStudy (mathstudent55):

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OpenStudy (mathstudent55):

Correct.

OpenStudy (pleasehelp2346677):

Oh okay so, its 440?

OpenStudy (mathstudent55):

correct

OpenStudy (pleasehelp2346677):

Thanks so much

OpenStudy (mathstudent55):

Notice that this problem is a great geometric demonstration of the distributive property. \(8 \times 11 + 15 \times 11 + 17 \times 11 = (8 + 15 + 17) \times 11\) \(88 + 165 + 187 = 40 \times 11\) \(440 = 440\)

OpenStudy (mathstudent55):

You're welcome.

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