Final answer:
The area of a trapezoid with b1 = 3 cm, b2 = 4 cm, and h = 8 cm is 28 square centimeters using the formula A = 1/2 × (b1 + b2) × h.
Step-by-step explanation:
To find the area of a trapezoid, the formula is A = 1/2 × (b1 + b2) × h, where b1 and b2 are the lengths of the parallel bases, and h is the height. In this case, b1 = 3 cm, b2 = 4 cm, and h = 8 cm.
Inserting these values into the formula gives us:
A = 1/2 × (3 cm + 4 cm) × 8 cm
A = 1/2 × 7 cm × 8 cm
A = 1/2 × 56 cm2
A = 28 cm2
So the area of the trapezoid is 28 square centimeters.