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.
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.
Please change the cm to inches.
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.