#1**0 **

Divide the quadrilateral into two triangles by drawing YW.

Triangle(ZYW):

Area(ZYW) = ½·32·24 = __________

Since triangle(ZYW) is a right triangle, we can find YW by the Pythagorean Theorem:

YW^{2} = 32^{2} + 24^{2} ---> YW = 40

Triangle(XYW:

We know the values of the three sides, so we can use Heron's formula to find the area.

s = (a + b + c) / 2 ---> s = (32 + 24 + 40) / 2 = 48

Area = sqrt[ s · (s - a) · (s - b) · (s - c) ]

= sqrt[ 48 · (48 - 32) · (48 - 24) · (48 - 40) ] = ____________

The area of the quadrilateral will be these two areas added together.

geno3141 May 20, 2020