Math Problem Statement
Find the area of the trapezoid given base 1 = 3/8 yd, base 2 = 7/8 yd, and height = 1/3 yd.
Solution
To determine the area of the given figure, we first identify the shape as a trapezoid.
Trapezoid Area Formula:
The area of a trapezoid is given by:
Where:
- and are the lengths of the parallel sides (bases),
- is the height of the trapezoid.
Given Measurements:
- Base 1
- Base 2
- Height
Step 1: Add the Bases
Step 2: Apply the Formula
Substitute the values into the area formula:
Step 3: Simplify
Multiply the fractions step-by-step:
Step 4: Compare to the Options
The given options are expressed in improper fractions. Converting to match the closest option, we check:
None of the options match exactly based on my calculation. Please clarify if the values were typed or interpreted differently.
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Math Problem Analysis
Mathematical Concepts
Geometry
Trapezoid Area Calculation
Fractions
Formulas
Area of a trapezoid: A = (1/2) * (b1 + b2) * h
Theorems
-
Suitable Grade Level
Grades 6-8