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LUCKY_DIMON [66]
3 years ago
7

4. ABCD below is a rectangle. BE=6x+2 and ED=4x+6. Find the length of AC.

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

28 units

Step-by-step explanation:

ABCD is a rectangle. AC and BD are diagonals intersecting at point E.

Diagonals of a rectangle bisect each other.

\therefore BE = ED

\therefore 6x + 2 = 4x + 6

\therefore 6x - 4x= 6-2

\therefore 2x= 4

\therefore x= \frac{4}{2}

\therefore x= 2

\therefore 6x + 2= 6*2+2= 12+2= 14

\therefore BE= 14\: units

\because BD = 2BE

\therefore BD = 2(14)= 28\: units

\because AC = BD (diagonals of a are equal in measure)

\therefore AC = 28\: units

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