Math Problem Statement
Find the area
Solution
To find the area of the trapezoid shown in the image, we can use the formula for the area of a trapezoid:
where:
- and are the lengths of the two parallel sides (the bases),
- is the height (the perpendicular distance between the bases).
From the image, we have:
- One base ,
- The other base ,
- The height .
Plugging these values into the formula:
Therefore, the area of the trapezoid is .
Do you want any details or have any questions?
Here are some related questions to expand your understanding:
- How would the area change if the height was 4 cm instead of 3 cm?
- What is the formula for the perimeter of a trapezoid?
- How do you derive the area formula for a trapezoid?
- What are the properties of a trapezoid?
- How can you find the height of a trapezoid if it's not given?
- How would the area change if one of the bases was doubled?
- Can you calculate the area if only the lengths of the non-parallel sides and the height are given?
- What are some real-life applications of finding the area of trapezoids?
Tip: Always double-check your measurements and units when calculating the area to ensure accuracy.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Trapezoids
Formulas
Area of a trapezoid: A = (1/2) * (a + b) * h
Theorems
-
Suitable Grade Level
Grades 6-8