What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (Round your answer to the nearest whole centimeter.)

Question

Mathematics

Cantu

18 September, 23:00

What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (Round your answer to the nearest whole centimeter.)

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Answers (1)

Know the Answer?

Kaeden Cooke · Answer 1

Answer: the answer is c.

Step-by-step explanation: Let W, L and D = the width, length and diagonal of the rectangle, respectively.

Then, by the Pythagorean theorem,

W^2 + L^2 = D^2

D = sqrt (W^2 + L^2)

= sqrt (90^2 + 200^2)

= sqrt (48100)

= 10 sqrt (481)

None of the choices offers an exact solution. However, an approximate solution is:

10 sqrt (481) ≈ 219.317,

which rounds to 219, so the closest answer is C.