A trapezoid has height 8 and area 28.What are the lengths of its bases
The bases can be any pair of values with an average of 3.5.
4 and 3 would work. Sp would 5 and 2
To find the lengths of the bases of a trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (b1 + b2) * h,
where "b1" and "b2" are the lengths of the bases and "h" is the height.
Given that the height of the trapezoid is 8 and the area is 28, we can substitute these values into the formula:
28 = (1/2) * (b1 + b2) * 8.
To simplify the equation, we can multiply both sides by 2:
56 = (b1 + b2) * 8.
Next, we divide both sides of the equation by 8:
7 = b1 + b2.
From this equation, we can see that the sum of the lengths of the bases is 7. However, we do not have enough information to determine the lengths of the individual bases on their own.