Rectangle diagonals

Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.

Correct answer:

u =  13 cm

Step-by-step explanation:

a=b+7 cm o=34 cm  o=2a+2b o=2(b+7)+2b o/2 = 7+2b  b=(o/27)/2=(34/27)/2=5 cm a=7+b=7+5=12 cm  u=a2+b2=122+52=13=13 cm   Verifying Solution:   o2=2 a+2 b=2 12+2 5=34 cm



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: