Question

Find the area of the rectangle XYZW plotted on the coordinate plane.

• A. 112 sq units
• B. 108 sq units
• C. 96 sq units
• D. 104 sq units

Answer 1

The correct option is D 104 sq units

The coordinates of the rectangle XYZW are X(0, 4), Y(8, 4), Z(8, −9), and W(0, −9).
Length of the rectangle = Side YZ of the figure
Width of the rectangle = Side XY of the figure

Coordinates		Distance
Y(8, 4) and Z(8, −9)	x-coordinates are the same for both the points; the absolute value of the difference of y-coordinates will give the length YZ.	Length = |4 − (−9)| = |4 + 9| = 13 units
X(0, 4) and Y(8, 4)	y-coordinates are the same for both the points; the absolute value of the difference of x-coordinates will give the length XY	Length = |0 − 8| = |−8| = 8 units

Length YZ = XW = 13 units
Length XY = WZ = 8 units
Area of the rectangle XYZW $=Length\times width$
$=13\times 8$
$=104$ sq units

Option A is correct.