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madam [21]
3 years ago
10

Given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Given the perimeter of the parallelogram in the image below is 60, the <em>value of GH</em> will be: 23.

<em><u>Recall:</u></em>

  • Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.
  • Opposite sides of a parallelogram are equal.

Given the parallelogram as shown in the diagram below, where:

base (b) = EF = 5x + 18

side (a) = HE = 3x + 4

Perimeter = 60

<em>Plug in the values into the formula:</em>

60 = 2[(3x + 4) + (5x + 18)]

60 = 2[3x + 4 + 5x + 18]

60 = 2[8x + 22]

60 = 16x + 44

60 - 44 = 16x

16 = 16x

1 = x

x = 1

GH = EF = 5x + 18 (equal opposite sides of parallelogram)

GH = 5x + 18

  • Plug in the value of x

GH = 5(1) + 18

GH = 23

Learn more about the perimeter of a parallelogram on:

brainly.com/question/884700

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