Question

Quadrilateral is a rectangle with vertices D(–8, 2), E(2, 7), F(5, 1), and G(–5, –4). Find the area of the rectangle.

Answer 1

First find the length DE
a= The difference of 2 and 7 = 5
b= The difference of -8 and 2 = 10
a² + b² = c²
25 + 100 = 125
c = √125

Now find length EF
A = The difference of 5 and 2 = 3
B = The difference of 1 and 7 = 6
A² + B² = C²
9 + 36 = 45
C= √45

Now we have the lengths of the rectangle. Area of a rectangle = LW
√125 x √45 = 75 (units) ²