Trapezoid Area Calculation: Verifying and Applying the Formula with 4cm and 7cm Parallel Sides

Question

ABCD is a trapezoid.

AB = 4 cm

DC = 7 cm

BK = 6 cm

Can the trapezoidal area formula be applied? If so, apply it and calculate.

00:00 Can we calculate the area of the trapezoid? If yes, calculate it

00:03 We'll use the formula for calculating trapezoid area

00:08 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2

00:20 We know the side lengths but not the height

00:24 Therefore, we cannot calculate the trapezoid's area

00:29 And this is the solution to the question

The formula for the area of a trapezoid is:

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

Since we are given AB and DC but not the height, we cannot calculate the area of the trapezoid.

It cannot be applied.