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zhannawk [14.2K]
3 years ago
14

What is the measure of E?

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0
You can get E real quick
how? you know that D is 90 and f is given 66 and you know that D+E+F=180 so E=180-(90+66) which gives us 24
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<u>Step-by-step explanation</u>:

  • length of a rectangle = l
  • width of a rectangle = w
  • Perimeter of a rectangle = 2(l+w)

<u>Original rectangle</u> :

18 = 2(l+w)

18 = 2l + 2w ---------(1)

<u>New rectangle</u> :

46 = 2(3l+2w)

46 = 6l + 4w ---------(2)

<u>Solving the equations</u> :

Multiply (1) by 2 and subtract (2) from (1)

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Substitute l=5 in (1)

18 = 2(5)+2w

18 = 10+2w

2w = 8

w = 8/2

width = 4 inches.

length of new rectangle = 3(l) = 3\times5 = 15 inches.

width of new rectangle = 2(w) = 2\times4 = 8 inches.

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