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A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle

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Answer to a math question A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle

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Brice

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113 Answers

1. Assign the known values: one side of the rectangle is

a = 6.2\, \text{cm}

and the diagonal is

d = 12.5\, \text{cm}

.
2. Use the Pythagorean theorem to find the other side

d^2 = a^2 + b^2

12.5^2 = 6.2^2 + b^2

156.25 = 38.44 + b^2

b^2 = 156.25 - 38.44

b^2 = 117.81

b = \sqrt{117.81}

b \approx 10.85 \, \text{cm}

.
3. Calculate the perimeter

of the rectangle:

P = 2a + 2b

P = 2(6.2) + 2(10.85)

P = 12.4 + 21.7

P = 34.1 \, \text{cm}

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A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle

Answer to a math question A rectangle has a side that is 6,2cm and a diagonal that is 12,5cm. calculate the perimeter of the rectangle

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