Question

A rectangular plot of land has vertices located at (2, 8),

(2, 2), (–4, 2), and (–4, 8). Melissa says the area is 36 square units. What do you think about Melissa’s solution?

Answer 1

Melissa's solution is correct.

Step-by-step explanation:

A(2, 8), B(2, 2), C(–4, 2), and D(–4, 8)

Length of AB =
`√((x_2-x_1)^2 + (y_2-y_1)^2)`

`=√((2-8)^2+(2-2)^2) \\\\= √(36) \\\\= 6`

Length of BC =
`√((x_2-x_1)^2 + (y_2-y_1)^2)`

=
`=√((-4-2)^2+(2-2)^2) \\\\=√(36) \\\\= 6`

Area of rectangle = length X breadth

= 6 X 6

= 36 square units.

Therefore, Melissa's solution is correct.