A trapezoid has two sides the length of 8 cm, the top width being 10 cm and the bottom width being 12 cm. Find the area of the trapezoid.

Answer 1

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

Area = (1/2) * (sum of the lengths of the parallel sides) * (height)

In this case, the two parallel sides are 8 cm each, and the height can be calculated by subtracting the top width from the bottom width and dividing by 2:

Height = (12 cm - 10 cm) / 2
Height = 2 cm

Now we can plug the values into the area formula:

Area = (1/2) * (8 cm + 8 cm) * 2 cm
Area = (1/2) * 16 cm * 2 cm
Area = 8 cm * 2 cm
Area = 16 square cm

Therefore, the area of the trapezoid is 16 square cm.

Answer 2

Please change the cm to inches.

Answer 3

To convert the measurements to inches, we can use the conversion factor that 1 inch is equal to 2.54 cm.

Given:
- Two sides: 8 cm each
- Top width: 10 cm
- Bottom width: 12 cm

Converting these lengths to inches:
- Two sides: 8 cm * (1 inch / 2.54 cm) ≈ 3.15 inches
- Top width: 10 cm * (1 inch / 2.54 cm) ≈ 3.94 inches
- Bottom width: 12 cm * (1 inch / 2.54 cm) ≈ 4.72 inches

We already calculated the height in inches:
- Height: 2 cm * (1 inch / 2.54 cm) ≈ 0.79 inches

Now we can calculate the area using the converted measurements:
Area = (1/2) * (3.15 inches + 3.15 inches) * 0.79 inches
Area = (1/2) * 6.3 inches * 0.79 inches
Area = 2.52 square inches

Therefore, the area of the trapezoid with the measurements in inches is approximately 2.52 square inches.