Question

(i) quadrilateral fghi is a rectangle, $fh = c + 86$, and $gi = 2c$. what is gi?
$gi = \square$

Explanation:

Step1: Set diagonals equal

In a rectangle, diagonals are congruent, so $FH = GI$.
Substitute given expressions: $c + 86 = 2c$

Step2: Solve for $c$

Subtract $c$ from both sides:
$2c - c = 86$
$c = 86$

Step3: Calculate $GI$

Substitute $c=86$ into $GI=2c$:
$GI = 2 \times 86$

Answer:

$172$