Question

find de in rectangle cdef.
d to c: x - 42
d to e: x - 50
e to f: 2x - 100
de =
submit

Explanation:

Step1: Recall rectangle side property

In a rectangle, opposite sides are equal. So \( CD = EF \) and \( DE = CF \). From the diagram, \( CD = x - 42 \) and \( EF = 2x - 100 \). Set them equal: \( x - 42 = 2x - 100 \).

Step2: Solve for x

Subtract \( x \) from both sides: \( - 42 = x - 100 \). Add 100 to both sides: \( x = 100 - 42 = 58 \).

Step3: Find DE length

DE is given by \( x - 50 \). Substitute \( x = 58 \): \( 58 - 50 = 8 \).

Answer:

8