Circumference 66134

The isosceles trapezoid ABCD has an area of 36 cm2. One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid.

Correct answer:

o =  28 cm

Step-by-step explanation:

S=36 cm2 h=4 cm  a=2c S=(a+c)/2⋅ h a=2c 36=(a+c)/2⋅ 4  a=2⋅ c 36=(a+c)/2⋅ 4  a−2c=0 4a+4c=72  Pivot:Row1↔Row2 4a+4c=72 a−2c=0  Row2−41​⋅ Row1→Row2 4a+4c=72 −3c=−18  c=−3−18​=6 a=472−4c​=472−4⋅ 6​=12  a=12 c=6  x2 = h2 + ((a−c)/2)2 x=h2+((a−c)/2)2​=42+((12−6)/2)2​=5 cm  o=a+c+x+x=12+6+5+5=28=28 cm   Verifying Solution:   S1​=2a+c​⋅ h=212+6​⋅ 4=36 cm2

Try another example


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







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
The Pythagorean theorem is the base for the right triangle calculator.

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

algebraarithmeticplanimetricsnumbersUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: