Question

What is the area of rhombus ABCD ? Enter your answer in the box. Do not round at any steps. units² Rhombus A B C D on a coordinate plane with vertex A at negative 1 comma 4, vertex B at 3 comma 2, vertex C at negative 1 comma 0, and vertex D at negative 5 comma 2. Point P is at negative 3.4 comma negative 1.2. Dashed segments join point P to point D and point P to point C, forming right angle D P C.

Answer 1

Answer:

  16 units²

Step-by-step explanation:

Diagonal AC is a vertical line extending from y=0 to y=4, so is 4 units long.

Diagonal BD is a horizontal line extending from x=-5 to x=3, so is 8 units long.

The area of a rhombus is half the product of the lengths of the diagonals, so ...

  A = (1/2)(4 units)(8 units) = 16 units²

The area of rhombus ABCD is 16 units².