Area and Volume Calculations

This video tutorial covers solving area equations for rectangles, parallelograms, trapezoids, and triangles. It includes examples and practice problems to help students understand how to use equations to find missing dimensions and solve real-world problems. The tutorial emphasizes the importance of understanding formulas and applying them to different shapes.

What is the formula for calculating the area of a triangle?

• Base plus height

• Base divided by height

• One half the base times the height

• Base times height

If a triangle has a base of 6 inches and an area of 24 square inches, what is the height?

• 12 inches

• 8 inches

• 6 inches

• 4 inches

A trapezoid has bases of 4 cm and 10 cm, and an area of 28 square cm. What is the height?

• 8 cm

• 2 cm

• 4 cm

• 6 cm

How many rolls of fabric are needed to cover a curtain area of 200 square feet if each roll covers 37.5 square feet?

• 7 rolls

• 4 rolls

• 5 rolls

• 6 rolls

A parallelogram field has a base of 21.5 meters and a height of 18 meters. How many 50 square meter pallets of sod are needed?

• 9 pallets

• 8 pallets

• 7 pallets

• 6 pallets

What is the area of a rectangle that is 42 feet long and 28 feet wide?

• 1400 square feet

• 1260 square feet

• 1176 square feet

• 1344 square feet

If a triangular block has an area of 64 square inches and the base is twice the height, what are the base and height?

• Base: 10 inches, Height: 5 inches

• Base: 12 inches, Height: 6 inches

• Base: 16 inches, Height: 8 inches

• Base: 8 inches, Height: 4 inches

How many gallons of paint are needed to cover a deck of 1176 square feet if each gallon covers 350 square feet?

• 5 gallons

• 4 gallons

• 3 gallons

• 6 gallons

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?

• 702 square feet

• 743 square feet

• 800 square feet

• 850 square feet

What is the area of the smallest rectangle that can fit a mirror made of two congruent parallelograms with a combined area of 9 1/3 square yards?

• 8 2/3 square yards

• 9 1/3 square yards

• 10 2/3 square yards

• 11 square yards