Question

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

170

likes
851 views

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

Expert avatar
Brice
4.8
110 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 b:
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 P of the rectangle:
P = 2a + 2b
P = 2(6.2) + 2(10.85)
P = 12.4 + 21.7
P = 34.1 \, \text{cm}.

Frequently asked questions (FAQs)
Math Question: What is the limit as x approaches 5 of [(2x^2 - 3x + 1) / (x - 5)]?
+
Math question: What is the limit of (x^3 - 4x^2 + 5x + 2)/(3x^2 - 2x + 7) as x approaches infinity?
+
What is the value of a side adjacent to an angle with a measure of 30 degrees and a hypotenuse of length 5?
+
New questions in Mathematics
The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?
2x-4y=-6; -4y+4y=-8
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
A test has 5 multiple choice questions. Each question has 4 alternatives, only one of which is correct. A student who did not study for the test randomly chooses one alternative for each question.(a) What is the probability of him getting a zero on the test?(b) What is the probability of him getting a three or more? The maximum mark for the test is 5, with each question worth one point.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
Use linear approximation to estimate the value of the sine of 31o.
X³-27
Quadratic equation 2X = 15/X + 7
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
Let N be the total number of ways to choose at least one ride, out of a total of 7 different ones, existing in an amusement park. Can it be said that N is a natural number equal to?
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88
Oi👋🏻 Toque em "Criar Nova Tarefa" para enviar seu problema de matemática. Um dos nossos especialistas começará a trabalhar nisso imediatamente!
x²-7x+12=0
The following incoming payments show up at a tax inspection: 25 000€ on 19.01.2008, 140 000€ on 27.03.2008 and 19 000€ on a date that which is illegible, and 60 000€ on 15.06.2008. On which date did the payment of the 19 000€ appear, if on 30.06.2008 the money on the account (incl. interest at 4%) is 246 088.89€? Use simple interest and 30E/360 DCC. Solution: 45 days, 15.05.08
7-1=6 6x2=12 Explain that
A triangle is cut by a line s parallel to the base in such a way that it divides the side of the triangle into parts in the ratio of 2 : 3. Find the other side of the triangle if it is known that the line s divides it into parts whose length is 5 cm.
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
13/25+7/16