All ACT Math Resources
Example Questions
Example Question #1 :How To Find The Area Of A Trapezoid
What is the area of this regular trapezoid?
32
26
20
45
32
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.
Example Question #1 :How To Find The Area Of A Trapezoid
What is the area of the trapezoid above if a = 2, b = 6, and h = 4?
8
24
16
64
32
16
Area of a Trapezoid = ½(a+b)*h
= ½ (2+6) * 4
= ½ (8) * 4
= 4 * 4 = 16
Example Question #1 :How To Find The Area Of A Trapezoid
Find the area of a trapezoid if the height is, and the small and large bases areand, respectively.
Write the formula to find the area of a trapezoid.
Substitute the givens and evaluate the area.
Example Question #4 :Trapezoids
Trapezoidhas an area of. If heightand, what is the measure of?
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,
Example Question #11 :Trapezoids
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,
Certified Tutor
Certified Tutor