tristenlampkin8 tristenlampkin8
  • 21-04-2021
  • Mathematics
contestada

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 odhad class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-04-2021

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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