How to find the area of a trapezoid - ACT Math
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Find the area of a trapezoid given bases of length 6 and 7 and height of 2.
Find the area of a trapezoid given bases of length 6 and 7 and height of 2.
To solve, simply use the formula for the area of a trapezoid.
Substitute
into the area formula.
Thus,
To solve, simply use the formula for the area of a trapezoid.
Substitute
into the area formula.
Thus,
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What is the area of this regular trapezoid?
What is the area of this regular trapezoid?
To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20. The base of the triangle is 3 and the height of the triangle is 4. The area of one triangle is 6. Hence the total area will be 20+6+6=32. If you forget to split the shape into a rectangle and TWO triangles, or if you add the dimensions of the trapezoid, you could arrive at 26 as your answer.
To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20. The base of the triangle is 3 and the height of the triangle is 4. The area of one triangle is 6. Hence the total area will be 20+6+6=32. If you forget to split the shape into a rectangle and TWO triangles, or if you add the dimensions of the trapezoid, you could arrive at 26 as your answer.
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What is the area of the trapezoid above if a = 2, b = 6, and h = 4?
What is the area of the trapezoid above if a = 2, b = 6, and h = 4?
Area of a Trapezoid = ½(a+b)*h
= ½ (2+6) * 4
= ½ (8) * 4
= 4 * 4 = 16
Area of a Trapezoid = ½(a+b)*h
= ½ (2+6) * 4
= ½ (8) * 4
= 4 * 4 = 16
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Find the area of a trapezoid if the height is 
, and the small and large bases are 
and 
, respectively.
Find the area of a trapezoid if the height is
Write the formula to find the area of a trapezoid.
Substitute the givens and evaluate the area.
Write the formula to find the area of a trapezoid.
Substitute the givens and evaluate the area.
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Trapezoid 
has an area of 
. If height 
and 
, what is the measure of 
?
Trapezoid
The formula for the area of a trapezoid is:
We have here the height and one of the bases, plus the area, and we are being asked to find the length of base 
. Plug in known values and solve.
Thus, 
The formula for the area of a trapezoid is:
We have here the height and one of the bases, plus the area, and we are being asked to find the length of base
Thus,
Compare your answer with the correct one above