Area and Volume Calculations

This video tutorial covers solving area equations for rectangles, parallelograms, trapezoids, and triangles. It includes examples of calculating missing dimensions using known area and dimensions, and solving multi-step problems involving real-world applications. The tutorial emphasizes the use of formulas and order of operations in problem-solving.

What is the formula for the area of a triangle?

• Base times height

• One half the base times the height

• Base plus height

• Base minus height

If a triangle has a base of 1.5 feet and an area of 2.25 square feet, what is the height?

• 4 feet

• 3 feet

• 2 feet

• 1 foot

How do you find the area of a trapezoid?

• Base times height

• Base minus height

• One half the height times the sum of the bases

• Base plus height

A rectangular stage curtain requires 200 square feet of fabric. If each roll of fabric covers 37.5 square feet, how many rolls are needed?

• 7 rolls

• 4 rolls

• 5 rolls

• 6 rolls

What is the area of a parallelogram with a base of 21.5 meters and a height of 18 meters?

• 180 square meters

• 215 square meters

• 3870 square meters

• 387 square meters

How many pallets of sod are needed to cover a field of 387 square meters if each pallet covers 50 square meters?

• 7 pallets

• 6 pallets

• 8 pallets

• 9 pallets

A triangular bandana has an area of 70 square inches and a height of 8.75 inches. What is the base length?

• 10 inches

• 12 inches

• 16 inches

• 8 inches

If a tennis court for singles is 78 feet by 27 feet, how much more area does a doubles court cover if it is 9 feet wider?

• 850 square feet

• 800 square feet

• 702 square feet

• 743 square feet

What is the area of a trapezoid with bases of 12 cm and 14 cm and a height of 3 cm?

• 84 square cm

• 78 square cm

• 52 square cm

• 39 square cm

A watercolor painting is 20 inches by 9 inches. If a mat adds 1 inch to each side, what is the area of the mat alone?

• 72 square inches

• 62 square inches

• 52 square inches

• 42 square inches