Question

Area for rectangle in the coordinate plane. IXL Geometry help pls !

Answer 1

Explanation:

The co-ordinates of the rectangle are:

A (8, 6)

B (-4, -10)

C (-8, -7)

D (4, 9)

The Area of Rectangle is Given by: length x breadth = AB x BC

Lengths of AB and BC can be found by distance formula

length(AB) =
`\sqrt{(x_(2) - x_(1) )^(2) + (y_(2) - y_(1) )^(2)}` =
`\sqrt{(-4-8)^(2) + (-10-6)^(2)} = 20`

Similarly,

length(BC) = 5

Area of Rectangle = AB x BC = 20 x 5 = 100 square units