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Anika [276]
3 years ago
15

An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

the midpoint of segment AC. If BC = 8 feet, what is the length of AD?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

<u><em>The length of AD is 32 feet</em></u>

Step-by-step explanation:

<u>Proportional distances </u>

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

\displaystyle AC=CD=\frac{x}{2}

Given B is the midpoint of AC, then

\displaystyle AB=BC=\frac{AC}{2}=\frac{x}{4}

If we know BC=8 feet

\displaystyle \frac{x}{4}=8\ feet

\displaystyle x=32\ feet

The length of AD is 32 feet

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