Question

The vertices of a rectangle are plotted.

A graph with both the x and y axes starting at negative 8, with tick marks every one unit up to 8. The points negative 7 comma 2, 4 comma 2, negative 7 comma negative 4, and 4 comma negative 4 are each labeled.

What is the perimeter of the rectangle?

11 units
66 units
17 units
34 units

Answer 1

Answer: D.34 units

Explanation:

Answer 2

The perimeter of the rectangle is 34 units.

To find the perimeter of the rectangle, we need to find the length and width of the rectangle, which are the distances between the corresponding vertices. We can use the distance formula to find the length and width.

The distance between (-7, 2) and (4, 2) is 11 units, which is the length of the rectangle.
The distance between (-7, 2) and (-7, -4) is 6 units, which is the height of the rectangle.

Therefore, the perimeter is 2 times the length plus 2 times the width, which is 2(11) + 2(6) = 22 + 12 = 34 units.

Therefore, the answer is 34 units.