Area of Triangles, Trapezoids and Parallelograms

Which of these is the formula for the area of a parallelogram?

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The height measurement in a triangle or parallelogram must be...

• at a $45\degree$ angle to the base.

• parallel to the base.

• the measurement of the side.

• at a right angle (perpendicular) to the base.

A triangle and a rectangle have the same height and base length, so the area of the triangle will be...

• equal to the area of the rectangle.

• half the area of the rectangle.

• greater than the area of the rectangle.

• a quarter of the area of the rectangle.

The area of a trapezoid is found by...

• adding the two bases, dividing them in half, then multiplying by the height.

• adding the two bases and multiplying the sum by the height.

• multiplying the base by the height.

• taking half of the base times the height.

If the area of this rectangle is 62.5 ft², what is its height?

• 50 ft²

• 18.75 ft

• 37.5 ft

• 5 ft

The world's largest jigsaw puzzle has an area of 4675 ft². If it is a parallelogram with a height of 55 ft, how long is its base?

• 170 ft

• 86.64 ft

• 85 ft

• 8.45 ft

The area of a triangular sail on a model boat is 200.2 cm² and it's base is 18.2 cm wide. What is the height of the sail?

• 11 cm

• 81.9 cm

• 182 cm

• 91 cm

Which of the following is the height measurement for this parallelogram?

• 2.0 m

• 0.7 m

• 1.8 m

• 1.26 m²

What is the area of this parallelogram?

• 380 ft

• 9000 ft²

• 8100 ft²

• 280 ft²

The following is a site plan for a new playground at Lively Middle School. Calculate the area of the new playground.

• 700 m²

• 420 m²

• 537.5 m²

• 560 m²