Trapezoid

Trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area?

Correct answer:

S =  321.9487 cm2

Step-by-step explanation:

a=35 cm b=28 cm d=14 cm c=11 cm h>0  d2=x2+h2 b2 = y2+h2 c = a−x−y  142=x2+h2 282 = y2+h2 c = 35−x−y  x=−1/4=−41​=−0.25 cm y=97/4=497​=24.25 cm c=a−x−y=35−(−0.25)−24.25=11 cm  h=d2−x2​=142−(−0.25)2​≐13.9978 cm  S=(a+c)⋅ h/2=(35+11)⋅ 13.9978/2=321.9487 cm2

Try another example


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



Showing 1 comment:
Evan
How did you come up with x = -0.25 and y = 24.25?





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 its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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

algebraarithmeticplanimetricsGrade of the word problem

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

Related math problems and questions: