Diagonal of the rectangle

Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm.

Final Answer:

u =  10.8167

Step-by-step explanation:

S=54 o=30 S = a b o = 2 (a+b) S=a (o/2a) 54=a (30/2a)  54=a (30/2a) a215a+54=0  p=1;q=15;r=54 D=q24pr=1524154=9 D>0  a1,2=2pq±D=215±9 a1,2=215±3 a1,2=7.5±1.5 a1=9 a2=6 a=a1=9 b=a2=6 u=a2+b2=92+62=3 13=10.8167

Our quadratic equation calculator calculates it.




Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions: