The sum of the lengths of the bases (b1+b2) for the given trapezoid is 10 meters.
<u>Step-by-step explanation:</u>
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.
<u>To find the sum of the lengths of the bases of trapezoid :</u>
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.
