Algebra Word Problem Problems Involving Geometry

This video tutorial covers algebraic word problems involving geometric concepts. It includes solving for the perimeter and dimensions of rectangles, finding angles in triangles, calculating the area and perimeter of rectangles, determining the base and height of triangles, and finding the circumference of circles. The tutorial emphasizes the use of algebra to solve these problems, highlighting the importance of understanding geometric principles in real-world applications.

What is the primary focus of the course section discussed in the introduction?

• Understanding geometric shapes

• Solving algebraic equations

• Learning calculus concepts

• Solving word problems involving geometry using algebra

If the perimeter of a rectangle is 42 inches and the length is 3 inches longer than the width, what is the width?

• 15 inches

• 6 inches

• 9 inches

• 12 inches

In the rectangle perimeter problem, what is the length of the rectangle?

• 9 inches

• 6 inches

• 15 inches

• 12 inches

In a triangle, if the second angle is 30 degrees more than the first angle and the third angle is 8 times the first angle, what is the measure of the first angle?

• 10 degrees

• 15 degrees

• 20 degrees

• 25 degrees

Which of the following is a fact about the sum of angles in a triangle?

• It is always 360 degrees

• It is always 90 degrees

• It is always 180 degrees

• It varies depending on the type of triangle

In the triangle angles problem, what is the measure of the third angle?

• 120 degrees

• 180 degrees

• 150 degrees

• 90 degrees

What is the perimeter of a rectangle if its area is 32 square inches and one side is twice the length of the other?

• 24 inches

• 28 inches

• 20 inches

• 16 inches

If the height of a triangle is 8 feet longer than its base and its area is 10 square feet, what is the base?

• 4 feet

• 2 feet

• 6 feet

• 8 feet

What is the circumference of a circle if its area is 9π?

• 9π

• 3π

• 12π

• 6π

In the triangle and circle area problems, what is the radius of the circle if its area is 9π?

• 1

• 2

• 3

• 4