Find the area and perimeter of the rectangle graphed below. Round your answers to the nearest hundredth.
+592 Distance Formula = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
Im going to label the points for ease:
A(-6, 0) , B(2, 8) , C(6, 5) , D(-2, -3)
Now using the distance formula, we can find the dimensions of this rectangle.
AB = \(\sqrt{128} = 8\sqrt{2} ≈ 11.31\)
BC = \(\sqrt{25} = 5\)
CD = \(\sqrt{128} = 8\sqrt{2} ≈ 11.31\)
DA = \(\sqrt{25} = 5\)
(of course, since it's a rectangle, you could just find the dimensions of two of the sides)
This means the area of the rectangle is = \(8\sqrt{2} \cdot 5 = 40\sqrt{2} ≈ 56.57 \)
And the perimeter is = \(2(8\sqrt{2} + 5) = 16\sqrt{2} + 10 ≈ 32.63 \)
A graphed quadrilateral is 
