Question

Find the area of the rhombus.

Answer 1

Answer:

Area of the rhombus is:

24 square units

Step-by-step 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= $\sqrt{(-4-2)^2+(1-1)^2} \\\\=\sqrt{6^2}\\ \\=6$

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

Answer 2

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