What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?
a. 44 units2
b. 30 units2
c. 24 units2
d. 35 units2

 The correct option is (d) 35 units².

Step-by-step explanation:  We are given to find the area of a rectangle with vertices at the points (2, 3), (7, 3), (7, 10), and (2, 10).

Let A(2, 3), B(7, 3), C(7, 10), and D(2, 10) represents the co-ordinates of the vertices of the given rectangle.

Then, the lengths of the sides AB, BC, CD and DA ca be calculated using distance formula as follows :

So, the area of the given rectangle will be

Thus, (d) is the correct option.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

the answer is (-4,-4)

hope this ! : d