Area of parallelograms, triangles, trapezoids

Front

What is the formula for the area of a parallelogram?

Back

A = bh, where A is the area, b is the base, and h is the height.

Front

What is the area of a triangle?

Back

A = 1/2 * b * h, where A is the area, b is the base, and h is the height.

Front

How do you find the height of a triangle if the area and base are known?

Back

Rearrange the area formula: h = (2A) / b.

Front

What is the area of a trapezoid?

Back

A = 1/2 * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides, and h is the height.

Front

If the area of a parallelogram is 120 square feet and the height is 20 feet, what is the base?

Back

b = A / h = 120 / 20 = 6 feet.

Front

What units are used to measure area?

Back

Square units, such as square meters (m²), square feet (ft²), or square inches (in²).

Front

What is the relationship between the base and height in calculating the area of parallelograms and triangles?

Back

Both formulas depend on the product of the base and height, but triangles have a factor of 1/2.

Front

How can you determine if two triangles have the same area?

Back

If they have the same base and height, or if their area formulas yield the same result.

Front

What is the significance of the height in area calculations?

Back

The height is the perpendicular distance from the base to the opposite side, crucial for accurate area measurement.

Front

Can the area of a parallelogram be calculated using the lengths of the sides?

Back

No, you need the base and height for the area calculation.