Question

1. what is DA

Answer 1

Answer:

(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.

Step-by-step 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 = $\sqrt{(c-a)^2 + (d-b)^2}$

(a)The length of DA  = $\sqrt{(-3-0)^2+ (-2-(-3))^2} = \sqrt{(-3)^2+ (1)^2} \\= \sqrt{9+ 1} = \sqrt{10} = 3.16$

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

(b) The length of CD  = $\sqrt{(-2-4)^2+ (-3-(-1))^2} = \sqrt{(-6)^2+ (-2)^2} \\= \sqrt{36+ 4} = \sqrt{40} = 7.28$

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.