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The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
<h3>How to measure diagonal of the cuboid?</h3>
The length of the diagonal of the cuboid is found out using the following formula.

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
- Length (l)=47 in
- Width (w)=33 in
- Height (h)=19.5 in
The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
Learn more about the cuboid here;
brainly.com/question/22694657
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Answer:
a
Step-by-step explanation:
Answer:
5.946 cm
Step-by-step explanation:
Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2
A is the longest side while b and c are the other two sides
To find one side we must use
b^2 = a^2 - c^2
a squared = 6.9 squared - 3.5 squared
a^2 = 35.36
square root 35.36 to get a
a = 5.946427499
a (3 d.p.) = 5.946