Graph rectangle VWXY with vertices V(–7,1), W(4,1), X(4,–6), and Y(–7,–6).-10-8-6-4-2246810-10-8-6-4-22468100xyWhat is the area of rectangle VWXY?
Question
Graph rectangle VWXY with vertices V(–7,1), W(4,1), X(4,–6), and Y(–7,–6).
-10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10
What is the area of rectangle VWXY?
Solution
The area of a rectangle is calculated by multiplying the length by the width.
To find the length and width of rectangle VWXY, we can use the coordinates given.
The length of the rectangle is the distance between V and W or X and Y. Since the y-coordinates of V and W are the same (1), the length is the difference in the x-coordinates. So, length = Wx - Vx = 4 - (-7) = 11 units.
The width of the rectangle is the distance between V and Y or W and X. Since the x-coordinates of V and Y are the same (-7), the width is the difference in the y-coordinates. So, width = Vy - Yy = 1 - (-6) = 7 units.
Now, we can calculate the area of rectangle VWXY by multiplying the length by the width.
Area = length x width = 11 units x 7 units = 77 square units.
So, the area of rectangle VWXY is 77 square units.
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