Elementary Geometry for College Students (7th Edition)

Published by Cengage

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 358: 4

Answer

A = MN * QO = base * altitude

Work Step by Step

Given MNPQ is a rhombus. We need to find the area of the rhombus. Draw an altitude from Q on base MN at O. We know in Rhombus the opposite sides are parallel to each other so it acts as a parallelogram. Using theorem 8.1.2 the area A of a parallelogram with a base of length b and corresponding altitude of length h is given by A=bh therefore the area of rhombus = MN * QO A = base * altitude.

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