Question

find fg and fi in rectangle fghi.
fg =
fi =

Explanation:

Step1: Set equal opposite sides

In a rectangle, opposite sides are congruent, so $GH = FI$.
$2c - 25 = 3c - 39$

Step2: Solve for $c$

Rearrange to isolate $c$:
$39 - 25 = 3c - 2c$
$c = 14$

Step3: Calculate $FG$

Substitute $c=14$ into $FG=4c-47$:
$FG = 4(14) - 47$
$FG = 56 - 47 = 9$

Step4: Calculate $FI$

Substitute $c=14$ into $FI=3c-39$:
$FI = 3(14) - 39$
$FI = 42 - 39 = 3$

Answer:

$FG = 9$
$FI = 3$