Understanding Parallelograms and Area Calculations

This video tutorial covers Unit 1 Lesson 4 on parallelograms. It begins with identifying parallelograms among various figures and explaining why some shapes are not parallelograms. The lesson progresses to decomposing a parallelogram into a rectangle and calculating its area using base and height. It also explains why certain quadrilaterals are not parallelograms. The tutorial further explores finding the area of different shapes and calculating the area of rectangles with fractional side lengths.

Which of the following figures is a parallelogram?

• Figure B: Parallelogram

• Figure D: Pentagon

• Figure E: Right Triangle

• Figure A: Trapezoid

Why is Figure A not considered a parallelogram?

• It has equal side lengths.

• It has no parallel sides.

• It has only one pair of parallel sides.

• It is a pentagon.

What is the first step in transforming a parallelogram into a rectangle?

• Calculate the area.

• Identify the base and height.

• Decompose and rearrange the shape.

• Measure the angles.

How do you calculate the area of a parallelogram?

• Perimeter divided by two

• Length times width

• Base times height

• Side squared

What is the area of a parallelogram with a base of 10 cm and a height of 3 cm?

• 50 square centimeters

• 20 square centimeters

• 30 square centimeters

• 40 square centimeters

Why is the given quadrilateral not a parallelogram?

• All sides are equal.

• Opposite sides are not parallel and not the same length.

• It is a triangle.

• It has four right angles.

What is the combined area of the original shape if it is divided into two shapes with areas of 15 and 4 square units?

• 18 square units

• 19 square units

• 20 square units

• 21 square units

What is the area of a rectangle with side lengths of 5 inches and 1/3 inches?

• 15 square inches

• 10/3 square inches

• 5 square inches

• 5/3 square inches

Calculate the area of a rectangle with side lengths of 5/2 inches and 4/3 inches.

• 15/4 square inches

• 10/3 square inches

• 8/3 square inches

• 20/6 square inches

What is the area of a rectangle with side lengths of 7/6 inches and 6/7 inches?

• 4 square inches

• 3 square inches

• 2 square inches

• 1 square inch