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34 votes
34 votes
3. The rectangle below has an area of 297 in. Find the length of the diagonal.

14
27 in.
odhad.

3. The rectangle below has an area of 297 in. Find the length of the diagonal. 14 27 in-example-1
User Zikkoua
by
3.1k points

1 Answer

20 votes
20 votes

9514 1404 393

Answer:

29.15 in

Explanation:

The area of a rectangle is given by the formula ...

A = LW

Filling in the given information, we can find the missing side length.

297 in² = (27 in)h

h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

d² = 27² + 11² = 729 +121 = 850

d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

User Niklas Wenzel
by
2.7k points