Question

Q1.Students of class X have been allotted a rhombus shaped plot for gardening. The verticesof plot are A(5, - 1), B(8, 3), C(4, 0) and D(1, - 4) Find the area of the plot?​

Answer 1

Answer:

Area of the plot = 7

Step-by-step explanation:

A(5, - 1), B(8, 3), C(4, 0) D(1, - 4)

AC = √(x2-x1)2+(y2-y1)2

AC = √(4-5)2+(0-1)2

AC = √(-1)2+(1)2

AC = √1+1

AC = √2

CD = √(x2-x1)2+(y2-y1)2

CD = √(1-8)2+(-4-3)2

CD = √(-7)2+(-7)2

CD = √49+49

CD = √98

CD = 7√2

Area of rhombus = 1 × AC ×BD

2

= 1 ×√2 × 7√2

2

= 1 × 14

2

=7