All ISEE Upper Level Math Resources
Example Questions
Example Question #1 :How To Find The Area Of A Trapezoid
Note: Figure NOT drawn to scale.
上述梯形面积. What is?
Substitutein the formula for the area of a trapezoid:
Example Question #2 :How To Find The Area Of A Trapezoid
A trapezoid has height 20 inches. Its bases have sum 30 inches, and one base is 6 inches longer than the other. What is the area of this trapezoid?
It cannot be determined from the information given.
You do not need to find the individual bases; their sum,, is. You can substituteinto the formula for the area of a trapezoid:
square inches.
Note that the fact that one base isinches longer is not important here.
Example Question #3 :How To Find The Area Of A Trapezoid
Find the area of the above trapezoid if,, and.
Figure not drawn to scale.
The area of a trapezoid is given by
,
where,每个基地的长度吗andis the altitude (height)of the trapezoid.
Example Question #4 :How To Find The Area Of A Trapezoid
A trapezoid has the base lengths ofand. The area of the trapezoid is. Give the height of the trapezoid in terms of.
The area of a trapezoid is given by
,
where,每个基地的长度吗andis the altitude (height) of the trapezoid.
Example Question #5 :How To Find The Area Of A Trapezoid
In the following trapezoidand. The area of the trapezoid is 54 square inches. Give the height of the trapezoid. Figure not drawn to scale.
The area of a trapezoid is given by
,
where,每个基地的长度吗andis the altitude (height) of the trapezoid.
Substitute these values into the area formula:
Example Question #6 :How To Find The Area Of A Trapezoid
What is the area of the shaded portion of the above square?
Quadrilateral- the shaded region - is a trapezoid with basesand, and altitude. The area of the trapezoid can be calculated using the formula
,
whereand, and.
The length ofcan be found by settingandand applying the Pythagorean Theorem:
Therefore,
.
替换:
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