Coordinate Geometry and Nets Unit Test

6 of 166 of 16 Items

Question
Use the image to answer the question.

A coordinate plane shows both axes ranging from negative 2 to 8 in increments of 1. Four labeled points are plotted and joined to form a rectangle. The four points are labeled as upper A, upper B, upper C, and upper D, respectively, and are plotted at coordinates left parenthesis 1 comma 0 right parenthesis, left parenthesis 1 comma 3 right parenthesis, left parenthesis 5 comma 3 right parenthesis, and left parenthesis 5 comma 0 right parenthesis, respectively. All four points are connected by solid lines to form a rectangle. The area inside the rectangle is shaded.

Chris and Oscar bought a new television for their mom. They want to be sure it will fit on the wall, so they need to calculate the perimeter of the television. Use the graph to help them calculate the perimeter of the television.

(1 point)
Responses

7 feet
7 feet

12 feet
12 feet

14 feet
14 feet

16 feet
16 feet
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1 answer

To calculate the perimeter of the rectangle formed by the four labeled points, you can add up the lengths of all four sides.

The distance between points A and B is 3 units, as they have the same x-coordinate (1) and different y-coordinates (0 and 3). The distance between points B and C is 4 units, as they have the same y-coordinate (3) and different x-coordinates (1 and 5). The distance between points C and D is 5 units, as they have the same x-coordinate (5) and different y-coordinates (0 and 3). The distance between points D and A is also 4 units, as they have the same y-coordinate (0) and different x-coordinates (1 and 5).

Therefore, the perimeter of the rectangle is 3 + 4 + 5 + 4 = 16 feet.

The correct answer is:

16 feet