Question

if ( ei = 6u - 60 ) and ( gi = u ), find the value of ( u ) in rectangle ( efgh ).
( u = )

Explanation:

Step1: Use rectangle diagonal property

In a rectangle, diagonals bisect each other, so $EI = GI$.

Step2: Set up equation

Substitute given expressions: $6u - 60 = u$

Step3: Solve for u

Subtract $u$ from both sides: $5u - 60 = 0$
Add 60 to both sides: $5u = 60$
Divide by 5: $u = \frac{60}{5}$

Answer:

$u = 12$