Friday, April 26, 2013

Area of a Rhombus

Area of a Rhombus



Let’s look at a couple of problems that go over finding the area of a rhombus. A rhombus is a quadrilateral that also has the following properties,
             A parallelogram with four congruent sides
             Diagonals are perpendicular and bisect a pair of opposite angles
             Diagonals are not congruent
Problem 1 Find the area of a rhombus that has a side of 12 units and a height of 10 units
Step 1. The area formula equal’s base x height. (Please note: The height is not the side but is altitude)
Step 2. Plug in your numbers 12 x 10 = 120 square units
Let’s looks at a little more challenging problem
Problem 2 Fine area of a rhombus that has diagonal that measures 10 units and the other diagonal measures 14 units.
Step 1. Use the formula 1/2d1 * d2   where d = the diagonal length
Step 2 Plug in your numbers ½ (10 *14)
                                                    ½ *(140) = 70 units squared equals the area of the rhombus