Answer:
y = 2½ = 2.5
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