Trapezoids - ISEE Upper Level Mathematics Achievement
Card 0 of 9
Find the area of the above trapezoid if 
, 
, and 
.
Figure not drawn to scale.
Find the area of the above trapezoid if
Figure not drawn to scale.
The area of a trapezoid is given by
,
where 
, 
are the lengths of each base and 
is the altitude (height) of the trapezoid.
The area of a trapezoid is given by
where
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A trapezoid has the base lengths of 
and 
. The area of the trapezoid is 
. Give the height of the trapezoid in terms of 
.
A trapezoid has the base lengths of
The area of a trapezoid is given by
,
where 
, 
are the lengths of each base and 
is the altitude (height) of the trapezoid.
The area of a trapezoid is given by
where
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In the following trapezoid 
and 
. The area of the trapezoid is 54 square inches. Give the height of the trapezoid. Figure not drawn to scale.
In the following trapezoid
The area of a trapezoid is given by
,
where 
, 
are the lengths of each base and 
is the altitude (height) of the trapezoid.
Substitute these values into the area formula:
The area of a trapezoid is given by
where
Substitute these values into the area formula:
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Note: Figure NOT drawn to scale.
The above trapezoid has area 
. What is 
?
Note: Figure NOT drawn to scale.
The above trapezoid has area
Substitute 
in the formula for the area of a trapezoid:
Substitute
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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?
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?
You do not need to find the individual bases; their sum, 
, is 
. You can substitute 
into the formula for the area of a trapezoid:
square inches.
Note that the fact that one base is 
inches longer is not important here.
You do not need to find the individual bases; their sum,
Note that the fact that one base is
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What is the area of the shaded portion of the above square?
What is the area of the shaded portion of the above square?
Quadrilateral 
- the shaded region - is a trapezoid with bases 
and 
, and altitude 
. The area of the trapezoid can be calculated using the formula
,
where 
and 
, and 
.
The length of 
can be found by setting 
and 
and applying the Pythagorean Theorem:
Therefore,
.
Substituting:
Quadrilateral
where
The length of
Therefore,
Substituting:
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Note: Figure NOT drawn to scale.
The area of the above trapezoid is 
. What is 
?
Note: Figure NOT drawn to scale.
The area of the above trapezoid is
Substitute 
into the formula for the area of a trapezoid:
Substitute
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The perimeter of the following trapezoid is 
.
The following is given:
Find 
.
Figure not drawn to scale.
The perimeter of the following trapezoid is
The following is given:
Find
Figure not drawn to scale.
The perimeter of a trapezoid is equal to the sum of all of the sides, i.e.
,
where 
are the lengths of each side.
The perimeter of a trapezoid is equal to the sum of all of the sides, i.e.
where
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The bigger base length of a trapezoid is two times bigger than the smaller base length. Legs of the trapezoid have the same length of 
. If the perimeter of the trapezoid is 
, give the length of the smaller base.
The bigger base length of a trapezoid is two times bigger than the smaller base length. Legs of the trapezoid have the same length of
Like any polygon, the perimeter of a trapezoid is the total distance around the outside, i.e.
,
where 
are the lengths of each side.
Let 
small base length and 
big base length.
Like any polygon, the perimeter of a trapezoid is the total distance around the outside, i.e.
where
Let
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