Trapezoid perimeter base

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 perimeter of the trapezoid.

Final Answer:

o =  28 cm

Step-by-step explanation:

S=36 cm2 h=4 cm  a=2c S=(a+c)/2⋅ h 36=(a+c)/2⋅ 4  a=2⋅ c  a−2c=0 4a+4c=72  Pivot:Row1↔Row2  Row2−41​⋅ Row1→Row2 −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


Help us improve the example. If you find a mistake, let us know. Thank you!







Tips for related online calculators
Need help calculating a sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and are looking for a 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: