Area and Volume Problem Solving

This video tutorial covers solving area equations for various geometric shapes, including rectangles, parallelograms, trapezoids, and triangles. It provides step-by-step examples of how to use area formulas to find unknown dimensions and solve real-world problems. The video emphasizes the importance of understanding the order of operations and using inverse operations to solve equations. It concludes with independent practice problems to reinforce the concepts learned.

What is the essential question addressed in this video about solving area equations?

• How to use equations to solve problems about area of rectangles, parallelograms, trapezoids, and triangles

• How to measure angles in polygons

• How to find the volume of 3D shapes

• How to calculate the perimeter of various shapes

In the example of the triangular pennant, what is the first step to find the height?

• Write the area formula and substitute known values

• Add the base and height

• Multiply the area by the base

• Divide the area by the base

What is the height of the triangular pennant if the area is 2.25 square feet and the base is 1.5 feet?

• 1 foot

• 2 feet

• 4 feet

• 3 feet

In the quilt pattern example, what operation is used to isolate the base of the triangle?

• Multiplication

• Addition

• Subtraction

• Division

What is the base length of each quilt piece if the area is 24 square inches and the height is 6 inches?

• 8 inches

• 6 inches

• 4 inches

• 10 inches

In the trapezoidal garden example, what is the first step after substituting known values into the area formula?

• Divide the bases

• Subtract the bases

• Add the bases

• Multiply the bases

What is the width of the trapezoidal garden if the area is 44.4 square meters and the bases are 4.3 meters and 10.5 meters?

• 5 meters

• 7 meters

• 4 meters

• 6 meters

In the multi-step problem involving fabric rolls, what is the area of each roll of fabric?

• 35 square feet

• 37.5 square feet

• 30 square feet

• 25 square feet

How many rolls of fabric are needed if the curtain area is 200 square feet and each roll covers 37.5 square feet?

• 5 rolls

• 7 rolls

• 4 rolls

• 6 rolls

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

• 500 square meters

• 450 square meters

• 400 square meters

• 387 square meters