Question

Find the area of quadrilateral ABCD. Round the area to the nearest whole number, if necessary.

Answer 1

The area of the quadrilateral ABCD is 26 square units

How to find the area of quadrilateral ABCD?

The quadrilateral ABCD is a trapezoid, and it  has the following parameters:

Parallel bases = BC and AD

Height = CE

The lengths of these sides can be calculated using

d = √[(x2 - x1)^2 +(y2 - y1)^2]

So, we have

BC = √[(0 - 4)^2 +(3 + 1)^2] = 4√2

AD = √[(-5 - 4)^2 +(4 + 5)^2] = 9√2

CE = √[(2 - 4)^2 +(-3 + 1)^2] = 2√2

The area of the quadrilateral ABCD is then calculated as

Area = 0.5 * (BC + AD) * CE

This gives

Area = 0.5 * (4√2 + 9√2) * 2√2

Evaluate

Area = 26

Hence, the area of the quadrilateral ABCD is 26 square units

Read more about areas at:

brainly.com/question/22972014

#SPJ1