What is the area of the trapezoid shown below?

Solution:

Trapezoids are quadrilateral shapes having one pair of parallel sides. They have interesting properties and applications.

In the figure, we see that the length of the parallel sides 'a' and 'b' are given, and the height 'h' is given.

Given values: a = 6 cm, b = 12 cm, h = 7 cm.

Now, we use the formula for the area of the trapezoid, that is, Area = [1/2 × (a + b)] × h.

Hence, after substituting the values: 

⇒ Area = [1/2 × (6 + 12)]  × 7 = 1/2 × (18)  × 7 = 63.

Hence, the area of the trapezoid is 63 cm².

What is the area of the trapezoid shown below?

Summary:

The area of the trapezoid is 63 cm².