Question

If x=9 units, y= 3 units and h= 8 units find the area of the rhombus shown about using decomposition

Answer 1

Answer:

72 sq. units

Step-by-step explanation:

Find the diagram attached

The rhombus is the area of the two triangles and the rectangle

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * y * h

Area of triangle = 1/2 * 3 * 8

Area of triangle = 3 * 4

Area of triangle = 12 sq.units

Area of  2 triangle = 2(12) = 24 sq. units

Area of the rectangle = length * width]

Area of the rectangle = h (x-y)

Area of the rectangle = 8(9-3)

Area of the rectangle = 8 * 6

Area of the rectangle = 48 sq. units

Area of the rhombus = 24 + 48

Area of the rhombus = 72 sq. units