Question

What is the area of the rectangle with a vertices (1,3),(35,3),(35,53),(1,53)

Answer 1

To find the area of a rectangle with the given vertices, we can use the formula for area of a rectangle which is length x width.

First, we need to find the length and width of the rectangle.

Length = Distance between points (1,3) and (35,3)
Width = Distance between points (1,3) and (1,53)

Length = √[(35-1)^2 + (3-3)^2]
Length = √(34^2)
Length = 34

Width = √[(1-1)^2 + (53-3)^2]
Width = √(50^2)
Width = 50

Now we can calculate the area of the rectangle:

Area = Length x Width
Area = 34 x 50
Area = 1700

Therefore, the area of the rectangle with the given vertices is 1700 square units.