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