# Chapter 10 - Area - 10-2 Areas of Trapezoids, Rhombuses, and Kites - Practice and Problem-Solving Exercises - Page 626: 24

96 $in^{2}$

#### Work Step by Step

Find the length of the other diagonal by using the Pythagorean Theorem. $a^{2}$+$b^{2}$=$c^{2}$ $8^{2}$+$b^{2}$=$10^{2}$ 64 + $b^{2}$=100 $b^{2}$=36 b=6 The diagonal is twice this length. 6x2=12 We use the formula for the area of a rhombus to obtain: A=$\frac{1}{2}$($d_{1}$)($d_{2}$) A=$\frac{1}{2}$(12)(16) A=96

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