Question

What is the length of BD, given that figure ABCD is a rectangle and AE = 28? A. 56 B. 14 C. 7 D. 28

Answer 1

Answer:

A. 56.

Step-by-step explanation:

We have been given an image of rectangle. We are asked to find the length of BD.

We will use rectangle properties to solve our given problem.

We know that diagonals of rectangle are congruent and they bisect each other.

We can see that BD is diagonal of rectangle ABCD and it bisects diagonal AC at point E.

Using rectangle diagonal properties, we can set an equation as:

$BD=2\times AE$

$BD=2\times 28$

$BD=56$

Therefore, the length of BD is 56 units and option A is the correct choice.

Answer 2

I hope this helps you



diagonal AC=BD


AE=EC=BE=ED=28


AC=BD=56