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11 votes
11 votes
100 points! please help meeee.
find the missing dimensions on the figure

100 points! please help meeee. find the missing dimensions on the figure-example-1
User HalR
by
2.4k points

2 Answers

20 votes
20 votes

Answer:

r = 2 and n = 3

Step-by-step explanation:

9 = r + 3+ 4

9 = r + 7

r = 2

10 = n +2 + 5

10 = n + 7

n = 3

User Wrren
by
2.9k points
14 votes
14 votes

Answer:

r = 2 ft

n = 3 ft

area = 61 ft²

Step-by-step explanation:

  • total length : 10 ft
  • total width : 9 ft

-------------------------------

  • n + 2 + 5 = 10
  • n = 10 - 7
  • n = 3 ft

-------------------------------

  • r + 3 + 4 = 9
  • r = 9 - 7
  • r = 2 ft

-----------------------------

Area of the entire figure:

  • length * width
  • 9 ft * 10 ft
  • 90 ft²

Area of the missing side:

  • 5 * (3+2) + 2 * 2
  • 29 ft²

So area of the shape:

  • 90 ft² - 29 ft²
  • 61 ft²
User LarAng
by
2.6k points