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3 years ago

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

Mathematics

1 answer:

saul85 [17]3 years ago

7 0

9514 1404 393

Answer:

29.15 in

Step-by-step 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.

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