Question

given rectangle lmno below. if lp = 40, find op.

Explanation:

Step1: Recall rectangle diagonals property

In a rectangle, the diagonals are equal in length and bisect each other. So, diagonals \( LN \) and \( MO \) bisect each other at point \( P \). This means \( LP = OP \) because the diagonals bisect each other, so the segments of each diagonal are equal.

Step2: Determine \( OP \) value

Given \( LP = 40 \), using the property from Step 1, we have \( OP = LP \). So, \( OP = 40 \).

Answer:

\( 40 \)