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).-10-8-6-4-2246810-10-8-6-4-22468100xyWhat 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.
Similar Questions
What is the area of a rectangle with vertices at (2, 3), (7, 3), (7, 10), and (2, 10)?A.30 units2B.35 units2C.24 units2D.44 units2SUBMITarrow_backPREVIOUS
Find the area of a parallelogram if it is defined by v = [2, 3] and w = [4, 1].
The area of a rectangle is 1,056 square inches. Its length is 4 inches longer than 2 times its width.Which equation can you use to find the width of the rectangle, w?1,056=2w(4+w)1,056=w(4+2w)What is the width of the rectangle?
Find the area of the triangle WXY in the figure below.
What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?A.13 units2B.26 units2C.42 units2D.21 units2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.