A trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is i

₹0.0

Question: A trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is its area?

Options:

Correct Answer: 32 cm²

Solution:

Area = 1/2 * (base1 + base2) * height = 1/2 * (10 + 6) * 4 = 32 cm².

A trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is its area?

A trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is its area?

Step 1: Identify the lengths of the two bases of the trapezoid. Base 1 is 10 cm and Base 2 is 6 cm.
Step 2: Identify the height of the trapezoid, which is 4 cm.
Step 3: Use the formula for the area of a trapezoid: Area = 1/2 * (base1 + base2) * height.
Step 4: Substitute the values into the formula: Area = 1/2 * (10 + 6) * 4.
Step 5: Calculate the sum of the bases: 10 + 6 = 16.
Step 6: Multiply the sum of the bases by the height: 16 * 4 = 64.
Step 7: Divide the result by 2 to find the area: 64 / 2 = 32.
Step 8: The area of the trapezoid is 32 cm².

Area of a Trapezoid – The area of a trapezoid can be calculated using the formula: Area = 1/2 * (base1 + base2) * height, where base1 and base2 are the lengths of the two parallel sides and height is the perpendicular distance between them.