Quadrilateral FGHI is a rectangle, FH=a+25, and GI=2a. What is the value of a?

Question

I
F
G
H
E
a=

Answer 1

In a rectangle, opposite sides are equal in length. Given that \( FH = a + 25 \) and \( GI = 2a \), we know that:

\[ FH = GI \]

This means we can set up the equation:

\[ a + 25 = 2a \]

To solve for \( a \), we can rearrange the equation:

\[ 25 = 2a - a \]

This simplifies to:

\[ 25 = a \]

Thus, the value of \( a \) is:

\[ \boxed{25} \]