The bases of a trapezoid measure 1/4 and 3/8 inches, and the height is 1 inch. What is the area of the trapezoid?
Area = average width times the height
A = (5/16) * 1
A = 5/16 square inches
http://www.mathopenref.com/trapezoidarea.html
To find the area of a trapezoid, you can use the formula:
Area = (1/2)(a + b)(h)
Where:
- "a" and "b" are the lengths of the trapezoid's bases
- "h" is the height of the trapezoid
In this case, the bases are measured as 1/4 inches and 3/8 inches, and the height is 1 inch.
First, let's convert the base lengths to a common denominator. Since 4 and 8 have a common multiple of 8, we can convert 1/4 to 2/8 and leave 3/8 as it is.
Now, we can substitute the values into the formula:
Area = (1/2)(2/8 + 3/8)(1)
Adding the fractions in the parentheses, we get:
Area = (1/2)(5/8)(1)
Multiplying the fractions and the number, we get:
Area = 5/16 square inches
Therefore, the area of the trapezoid is 5/16 square inches.