The parallelogram pictured below has a perimeter of 129. Find the value of y.

y = 2½ = 2.5

Step-by-step explanation:

From the question given above, the following data were obtained:

Perimeter = 129

Slant Side (a) = 10y – 9

Base (b) = 17y + 6

y =.?

The perimeter of a parallelogram can be obtained by using the following formula:

Perimeter = 2(a + b)

Thus, with the above formula, we can obtain the value of y as shown below:

Perimeter = 129

Slant Side (a) = 10y – 9

Base (b) = 17y + 6

y =.?

Perimeter = 2(a + b)

Perimeter = 2a + 2b

129 = 2(10y – 9) + 2(17y + 6)

Clear bracket

129 = 20y – 18 + 34y + 12

Collect like terms

129 + 18 – 12 = 20y + 34y

135 = 54y

Divide both side by the coefficient of y i.e 54

y = 135/54

y = 2½ = 2.5

Thus, the value of y is 2½ or 2.5

step-by-step explanation:

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