Question

Find the area of the trapezoid at the right. the left side is 5cm, the the top is 6cm, the side is 5.4cm, and the bottom on the right is 2cm.

Answer 1

To find the area of a trapezoid, we can use the formula:

Area = (1/2) × (sum of bases) × (height)

In this case, the bases are 6 cm and 2 cm, and the height is the distance between them, which we can find using the Pythagorean theorem:

height² = (side)² - (difference of bases/2)²

height² = 5.4² - (2-6/2)²

height² = 29.16 - 9

height² = 20.16

height = √20.16

height ≈ 4.49 cm

Now we can plug in these values to find the area:

Area = (1/2) × (6 + 2) × 4.49

Area = 4 × 4.49

Area = 17.96 cm²

Therefore, the area of the trapezoid is approximately 17.96 square centimeters.

Explanation: