Question

quadrilateral fghi is a rectangle, fh = 2a, and gi = a + 13. what is the value of a?

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal. So, $FH = GI$.

Step2: Set up the equation

Since $FH = 2a$ and $GI=a + 13$, we have $2a=a + 13$.

Step3: Solve the equation

Subtract $a$ from both sides: $2a - a=a + 13 - a$. So, $a = 13$.

Answer:

$13$