Isosceles trapezoid

Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.

Final Answer:

S =  420 cm2

Step-by-step explanation:

b=13 cm h=12 cm  S = 2a+c h  a12 = b2  h2 a1=b2h2=132122=5 cm  a = c+2a1 a/c = 4:3 = 4/3 (c+2a1)c = 4/3 3(c+2a1) = 4c 6a1 = c  c=6 a1=6 5=30 cm a=c+2 a1=30+2 5=40 cm  S=2a+c h=240+30 12=420 cm2



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







Tips for related online calculators
Check out our ratio calculator.
See also our right triangle calculator.
Do you want to convert length units?
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

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

algebraarithmeticplanimetrybasic operations and conceptsUnits 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: