Question

FIND THE area of rectangle ABCD in square feet

A(3,4)
B (-5,4)
C (-5,8)
D (3,8)

Answer 1

To find the area of the rectangle ABCD, we can use the formula for the area of a rectangle: length x width.

First, we need to find the length and width of the rectangle ABCD. The length can be calculated by finding the distance between points A and D, and the width can be calculated by finding the distance between points A and B.

Length:
Using the distance formula: d = sqrt((x2-x1)^2 + (y2-y1)^2)
d = sqrt((3-3)^2 + (8-4)^2)
d = sqrt(0 + 16)
d = sqrt(16)
d = 4 feet

Width:
Using the distance formula: d = sqrt((x2-x1)^2 + (y2-y1)^2)
d = sqrt((-5-3)^2 + (4-4)^2)
d = sqrt((-8)^2 + 0)
d = sqrt(64)
d = 8 feet

Now that we have the length and width of the rectangle, we can find the area:
Area = length x width
Area = 4 feet x 8 feet
Area = 32 square feet

Therefore, the area of rectangle ABCD is 32 square feet.