Question

if bf = 3p - 8 and df = 7p - 48, find the value of p in parallelogram bcde.

Explanation:

Step1: Use parallelogram property

In a parallelogram, the diagonals bisect each other. So, $BF = DF$.
$3p - 8=7p - 48$

Step2: Rearrange the equation

Move the terms with $p$ to one - side and constants to the other side.
$48 - 8=7p - 3p$

Step3: Simplify both sides

Calculate the values on both sides of the equation.
$40 = 4p$

Step4: Solve for $p$

Divide both sides by 4.
$p=\frac{40}{4}=10$

Answer:

$10$