How to calculate the area of an isosceles trapezoid?
Master calculating area of isosceles trapezoids with step-by-step practice problems. Learn formulas, properties, and midsegment concepts through guided examples.
How to calculate the area of an isosceles trapezoid?
In order to calculate the area of an isosceles trapezoid, like every trapezoid's area, we need to multiply the height by the sum of the bases and divide by .
That is:
Important point – The midsegment of a trapezoid equals half the sum of the bases
What is the area of the trapezoid ABCD?
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
First, let's remind ourselves of the formula for the area of a trapezoid:
We substitute the given values into the formula:
(2.5+4)*6 =
6.5*6=
39/2 =
19.5
Answer:
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
First, we need to remind ourselves of how to work out the area of a trapezoid:
Now let's substitute the given data into the formula:
(10+6)*5 =
2
Let's start with the upper part of the equation:
16*5 = 80
80/2 = 40
Answer:
40 cm²
Given the trapezoid:
What is the area?
Formula for the area of a trapezoid:
We substitute the data into the formula and solve:
Answer:
52.5
The trapezoid ABCD is shown below.
AB = 5 cm
DC = 9 cm
Height (h) = 7 cm
Calculate the area of the trapezoid.
The formula for the area of a trapezoid is:
We are given the following dimensions:
Substituting these values into the formula, we have:
First, add the lengths of the bases:
Now substitute back into the formula:
Calculate the multiplication:
Then multiply by the height:
Thus, the area of the trapezoid is 49 cm.
Answer:
49 cm
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
To calculate the area of the trapezoid ABCD, we will follow these steps:
Given:
Apply the trapezoid area formula:
The formula for the area of a trapezoid is:
Substitute the values into the formula:
Simplify the expression:
Calculate:
Finally, compute the area:
Thus, the area of trapezoid ABCD is .
Answer:
45