Question

1. what is DA

2. What is CD
3. What the is the area of the rectangle
Answer Options
2.8 units
5.1 units.
3.2 units
14.3 units
6.3 units
20.16 units
PLEASE HELP FAST​

Answer 1

(a)The length of DA = 3.2 units (app.)

(b) The length of CD = 6.32 units

(c)Area of the rectangle = 20.2 sq units.

Explanation:

Here the coordinates of the rectangle are given as

A(-3,0), B(3,2), C(4,-1) and D(-2,-3).

DISTANCE FORMULA: For two points P(a,b) and Q(c,d)

The length of PQ =
`√((c-a)^2  + (d-b)^2)`

(a)The length of DA =
`√((-3-0)^2+ (-2-(-3))^2)  = √((-3)^2+ (1)^2)   \\= √(9+ 1)    = √(10)  = 3.16`

Hence, the length of DA = 3.2 units (app.)

(b) The length of CD =
`√((-2-4)^2+ (-3-(-1))^2)  = √((-6)^2+ (-2)^2)   \\= √(36+ 4)    = √(40)  = 7.28`

Hence, the length of CD = 6.32 units

(c)Now, area of the rectangle = LENGTH X WIDTH

= Length of DA x Length of CD

= 3.2 units x 6.32 units = 20.2 sq units.