What is the area of rectangle VWXY?

The area of the rectangle VWXY is 52 square units

Step-by-step explanation:

The formula of the area of the rectangle is A = L × W, where

From the given figure

∵ VWXY is a rectangle

∵ V = (3, -9) and W = (-1, -9)

∵ X = (-1, 4) and Y = (3, 4)

∵ Its length is WX or VY

∴ WX = VY

∵ Its width is VW or XY

∴ VW = XY

→ Let us find its length and its width

∵ Points W and X have the same x-coordinates

∴ y1 = -9 and y2 = 4

→ By using the 4th note above

∴ WX = 4 - -9 = 4 + 9 = 13  

∴ L = 13 units

∵ Points X and Y have the same y-coordinates

∴ x1 = -1 and x2 = 3

→ By using the 3rd note above

∴ XY = 3 - -1 = 3 + 1 = 4  

∴ W = 4 units

→ By using the formula of the area above

∵ A = 13 × 4

∴ A = 52 square units

∴ The area of the rectangle VWXY is 52 square units

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step-by-step explanation: