Question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:

A(−7,−5)
B(−7,6)
C(−4,6)
D(−4,−5)
Given these coordinates, what is the length of side CD of this rectangle?

Answer 1

`\huge\boxed{11\ \text{units}}`

To solve this, we need to find the distance between points C and D.

The distance formula is:

`√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the values from points
`C(x_1, y_1)` and
`D(x_2, y_2)`.

`√((-4-(-4))^2+(-5-6)^2)`

Subtract.

`√(0^2+(-11)^2)`

Evaluate the powers.

`√(0+121)`

Solve for the final answer.

`√(121)\\\boxed{11}`