Question

Find the area of the rhombus.

24 square units

36 square units

48 square units

12 square units

Answer 1

`The\ length\ of\ the\ side\ of\ the\ rhombus:\\\\a=|-4-2|=|-6|=6\\\\The\ height\ of\ the\ rhombus:\\\\h=|5-1|=|4|=4\\\\The\ area\ of\ the\ rhombus:\\\\A=ah\\\\subtitute:\\\\A=6\cdot4=24\ (u^2)`

Answer 2

Area of the rhombus is:

24 square units

Explanation:

Area of rhombus is given as:

Area= b×h

where b is the base

and h is the height

let base of rhombus be the line joining (-4,1) and (2,1)

length of base=b=
`√((-4-2)^2+(1-1)^2) \\\\=√(6^2)\\ \\=6`

so, height is perpendicular to base which is line joining (0,5) and (0,1)

length of height=h=4

hence, Area = 6×4

= 24 square units