Math Problem Statement

What is the area of the figure?

Solution

To find the area of the figure, we need to recognize that it's a trapezoid. The area of a trapezoid is given by the formula:

Area=12×(b1+b2)×h\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h

Where:

  • b1b_1 is the length of the top base (11 ft),
  • b2b_2 is the length of the bottom base (25 ft),
  • hh is the height (12 ft).

Plugging the values into the formula:

Area=12×(11+25)×12\text{Area} = \frac{1}{2} \times (11 + 25) \times 12 Area=12×36×12\text{Area} = \frac{1}{2} \times 36 \times 12 Area=18×12=216ft2\text{Area} = 18 \times 12 = 216 \, \text{ft}^2

So, the area of the figure is 216 ft².

Would you like more details or have any further questions on this? Here are some related questions:

  1. How do you calculate the area of other polygons, like triangles and parallelograms?
  2. What is the formula for the area of a rectangle?
  3. How can you derive the formula for the area of a trapezoid?
  4. What is the difference between a parallelogram and a trapezoid?
  5. How do you find the perimeter of a trapezoid?

Tip: Remember that when calculating the area of any polygon, it's essential to identify the correct formula based on the shape's characteristics.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Trapezoid Area

Formulas

Area = 1/2 * (b1 + b2) * h

Theorems

Area of trapezoid formula

Suitable Grade Level

Grades 6-8