Question

What is the area of a rectangle with vertices

Answer 1

The most appropriate choice for distance formula will be given by Area of rectangle is 40 sq units

What is distance formula?

Distance formula is used to find the distance between two points.

Let A and B be two points with coordinate $(x_1, y_1)$ and $(x_2, y_2)$ respectively

Distance between A and B = $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

Here,

Let A = (-1 , -4), B = (-1, 6), C = (3, 6) and D = (3, -4)

Length of AB =

$\sqrt{((-1)-(-1))^2 + (-4-6)^2}\\\sqrt{100}\\10 units$

Length of BC =

$\sqrt{((-1)-3)^2 + (6-6)^2}\\\sqrt{16}\\4 units$

Length of rectangle = 10 units

Breadth of rectangle = 4 units

Area of rectangle = $10 \times 4$ = 40 sq units

Fourth option is correct

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