Question

The points C(-8, -9), D(-2,-2), E(0, 7), and F(-6, 0) form rhombus CDEF.

Plot the points then click the "Graph Quadrilateral" button. Then find the area of the
rhombus.

Answer 1

The area of the rhombus CDEF is 32 units squared.

Explanation:

The area of the rhombus CDEF is 24 square units. This can be determined by using the formula for finding the area of a rhombus which is A = 1/2 × d1 × d2 where d1 and d2 are the lengths of the diagonals of the rhombus. In this case, d1 is the distance from C to E and d2 is the distance from D to F. Calculating the lengths of the diagonals gives d1 = 8.9 and d2 = 8. Therefore, the area of the rhombus is 24 square units.