The sum of the lengths of the bases (b1+b2) for the given trapezoid is 10 meters.
Step-by-step explanation:
The given information are,
- The height of the parallelogram = 7 meters
- The area of the parallelogram = 35 square meters.
It is given that the height and area of the trapezoid is same as the height and area of the parallelogram.
To find the sum of the lengths of the bases of trapezoid :
Substitute height, h of the trapezoid as 7 meters and Area of trapezoid as 35 square meters.
Area of the trapezoid = 1/2 × h × (b1+b2)
35 = 1/2 × 7 × (b1+b2)
70/7 = (b1+b2)
(b1+b2) = 10
Therefore, the sum of lengths of the bases of trapezoid is 10 meters.
