Geometry: Common Core (15th Edition)

24 $m^{2}$
Find the length of the other diagonal by using the Pythagorean Theorem. Create a triangle cutting the diagonal given in half. This gives you a base to your triangle of 3. $a^{2}$+$b^{2}$=$c^{2}$ $3^{2}$+$b^{2}$=$5^{2}$ 9 + $b^{2}$=25 $b^{2}$=16 b=4 The diagonal is twice this length. 4x2=8 We use the formula for the area of a rhombus to obtain: A=$\frac{1}{2}$($d_{1}$)($d_{2}$) A=$\frac{1}{2}$(8)(6) A=24