In this lesson, we will learn how to use the distance, slope, and midpoint formulas to determine the coordinates, area, and perimeter of a rectangle in the coordinate plane.
Students will be able to
Q1:
A rectangle has vertices at the points 𝐴, 𝐵, 𝐶, and 𝐷 with coordinates (1,1), (4,2), (6,−4), and (3,−5) respectively.
Work out the perimeter of the rectangle 𝐴𝐵𝐶𝐷. Give your solution to two decimal places.
Work out the area of the rectangle 𝐴𝐵𝐶𝐷.
Q2:
Rectangle 𝐴𝐵𝐶𝐷 is graphed in the coordinate plane with its vertices at 𝐴(0,0),𝐵(−7,0),𝐶(−7,−4), and 𝐷(0,−4). Find its perimeter.
Q3:
Rectangle 𝐴𝐵𝐶𝐷 is graphed in the coordinate plane with its vertices at 𝐴(0,0),𝐵(6,0),𝐶(6,5), and 𝐷(0,5). Find its area.
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