Question

The midpoints of the four sides of a rectangle are (-3,0), (2,0), (5,4), and (0,4). What is the area of the rectangle?

(A) 20 (B) 25 (C) 40 (D) 50 E) 80​

Answer 1

Answer:

B) 25 is the correct answer.

Step-by-step explanation:

Finding the distance between the points,

(-3,0) and (2,0)

d² = (2+3)² + (0-0)²

or, d²= 5² + 0²

or, d² = 25

so, d = 5

Now,

(2,0) and (5,4)

d² = (5-2)² + (4-0)²

d² = 3²+4²

or, d² = 9 + 16

or, d² = 25

so, d = 5

Again,

(5,4) and (0,4)

d² = (0-5)² + (4-4)²

or, d² = -5² + 0²

or, d² = 25

so, d = 5

(-3,0) and (0,4)

d² = (0+3)²+(4-0)²

or, d² = 3²+4²

or, d² = 9+16

or, d² = 25

so, d = 5

Area = l×b

= 5×5

= 25