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3 years ago

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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?

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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Step-by-step explanation:

Given

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Required

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