Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 360: 28

Answer

132 $unit^{2}$

Work Step by Step

Lets draw XA perpendicular to WV, TB perpendicular to WV. Then AB = RS = 10 units WA = BV = $\frac{16 - 10}{2}$ = $\frac{6}{2}$ = 3 units By Pythagoras theorem AX = BT = 4 units Area (RXTVWX) = Area(WVTX) + Area (RSTX) = $\frac{1}{2}$ (a+b) h + bh = $\frac{1}{2}$ (WV+XT) AX + RS * TS =$\frac{1}{2}$ (16 + 10) 4 + 10 * 8 =26 * 2+80 = 52 + 80 = 132 $unit^{2}$
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