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A: What is the perimeter of HOUSE?

perimeter of HOUSE =


(round to the nearest hundredth - two decimal places)


B: What is the length of OH?

(round to the nearest thousandth - three decimal places)


C: What is the midpoint of OU?


D: Which is longer, OH or EH?


E: What is the perimeter of the triangle HOU?


perimeter of triangle HOU


(round to the nearest hundredth - two decimal points)

A: What is the perimeter of HOUSE? perimeter of HOUSE = (round to the nearest hundredth-example-1

2 Answers

3 votes

First calculate distances or lengths(Refer to attachment)

A:-


\\ \sf\longmapsto Perimeter=Sum\:of\:sides


\\ \sf\longmapsto 5.3+9+11+9+9.7


\\ \sf\longmapsto 15+29


\\ \sf\longmapsto 44

B:-

Refer to the attchment

C:-


\\ \sf\longmapsto \left((1+4)/(2),(1+6)/(2)\right)


\\ \sf\longmapsto \left((5)/(2),(7)/(2)\right)

D:-

EH>OH

E:-


\\ \sf\longmapsto Perimeter


\\ \sf\longmapsto 9.7+5.3+9


\\ \sf\longmapsto 24

A: What is the perimeter of HOUSE? perimeter of HOUSE = (round to the nearest hundredth-example-1
User Trodrigues
by
8.2k points
4 votes

Answer:

The coordinates of the HOUSE:

  • H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)

Part A

To find the perimeter first find the length of each side:

  • OH =
    √((1 +7)^2+(6-1)^2) = √(64+25) =√(89) ≈ 9.43 units
  • OU =
    √((4-1)^2+(1-6)^2) = √(9+25) = √(34) ≈ 5.83 units
  • US = 1 - (-8) = 9 units
  • SE = 4 - (-7) = 11 units
  • EH = 1 - (-8) = 9 units

The perimeter is:

  • P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 units

Part B

  • OH = 9.43 units (see part A)

Part C

Use midpoint formula:

  • x = (4 + 1)/2 = 2.5
  • y = (1 + 6)/2 = 3.5

The point is (2.5, 3.5)

Part D

  • OH = 9.43 units > EH = 9 units (see part A)

Part E

  • P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 units
User Robert Farley
by
7.7k points

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