Calculate Trapezoid Area: Finding Space Between 5 and 7 Unit Bases

Question

Given the following trapezoid:

Find the area of the trapezoid ABCD.

00:00 Calculate the area of the trapezoid

00:03 Let's use the formula for calculating the area of a trapezoid

00:07 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2

00:14 Let's substitute appropriate values and solve to find the area

00:26 Combine numerator with numerator and denominator with denominator

00:31 Divide 12 by 6

00:36 And this is the solution to the question

The area of the trapezoid will be:

$S=\frac{(AB+DC)\times h}{2}$

We replace the known data in the formula:

$\frac{(5+7)}{2}\times\frac{8}{3}=$

$\frac{12\times8}{6}=$

$\frac{96}{6}=16$