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stiks02 [169]
3 years ago
5

Alex left his home to go to the museum. He then went to the restaurant before returning home. The coordinate plane shows the loc

ations of Alex's home, the museum and restaurant.
If you connect the points on Alex's walk, what is the area of the shape that is created?

Answer Choices

10 square units


12 square units


15 square units


24 square units
Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0
You have to draw a corrdinate plane to figure it out. then connect the units
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Answer:

The length of the shortest​ side is 18 ft

The length of the second side is 21 ft

The length of the third side is 33 ft

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Let

x ------> the length of the shortest​ side

y -----> the length of the second side

z ----> the length of the third side

we know that

The perimeter of the deck is

P=x+y+z

P=72 ft

so

72=x+y+z ------> equation A

y=x+3 ------> equation B

z=2x-3 -----> equation C

substitute equation B and equation C in equation A and solve for x

72=x+(x+3)+(2x-3)

72=4x

x=72/4

x=18 ft

Find the value of y

y=18+3=21 ft

Find the value of z

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therefore

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The length of the second side is 21 ft

The length of the third side is 33 ft

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