Math

The area of a trapezium is 360 in2. If the ratio of the bases to the height is 6:10:5, find the dimensions of the trapezium.

Answers



Let a, b, and h be the lengths of the bases and the height, respectively. If a:b = 6:10, then a = 6 and b = 10. We know that the area of a trapezium is A = (a+b)h/2. Substituting in the given values and solving for h, we get h = 360/15 = 24. Then, if h:a = 5:6, we have 5h = 6a, so 5(24) = 6(6) or 120 = 36, which is true.

Therefore, the dimensions of the trapezium are a = 6, b = 10, h = 24.

Answered by walterjennifer

We have mentors from

Contact support