Question
What is the area of a rectangle with the vertices a(28,12)b(18,12)c(18,4)d(28,4)
Answers
GPT 3.5
To find the area of a rectangle with these vertices, we can find the length of the base and height of the rectangle formed by the points given and then multiply them to get the area.
The base of the rectangle is determined by the distance between points A(28,12) and B(18,12). Using the distance formula:
Length = √[(28-18)^2 + (12-12)^2]
= √[(10)^2 + (0)^2]
= √[100]
= 10
The height of the rectangle is determined by the distance between points B(18,12) and C(18,4). Using the distance formula:
Height = √[(18-18)^2 + (12-4)^2]
= √[(0)^2 + (8)^2]
= √[64]
= 8
Now, multiply the length and height to find the area of the rectangle:
Area = Length x Height
Area = 10 x 8
Area = 80 square units
Therefore, the area of the rectangle with the given vertices is 80 square units.
The base of the rectangle is determined by the distance between points A(28,12) and B(18,12). Using the distance formula:
Length = √[(28-18)^2 + (12-12)^2]
= √[(10)^2 + (0)^2]
= √[100]
= 10
The height of the rectangle is determined by the distance between points B(18,12) and C(18,4). Using the distance formula:
Height = √[(18-18)^2 + (12-4)^2]
= √[(0)^2 + (8)^2]
= √[64]
= 8
Now, multiply the length and height to find the area of the rectangle:
Area = Length x Height
Area = 10 x 8
Area = 80 square units
Therefore, the area of the rectangle with the given vertices is 80 square units.