Question

1. if a point were added to form a rectangle, what would be the perimeter of that rectangle?

(a) 10 units
(b) 14 units
(c) 18 units
(d) 21 units

Explanation:

Step1: Analyze possible rectangle

By observing the points on the grid, assume the side - lengths of the rectangle formed. Let's consider the horizontal and vertical distances between the points. If we assume the points form a rectangle, we can count the number of unit - lengths for each side. Suppose the length of the rectangle is \(l\) and the width is \(w\).

Step2: Calculate perimeter formula

The perimeter formula of a rectangle is \(P = 2(l + w)\). After analyzing the grid, if we form a rectangle using the given points and adding a fourth point, we find that \(l=4\) units and \(w = 5\) units.

Step3: Substitute values into formula

Substitute \(l = 4\) and \(w = 5\) into \(P = 2(l + w)\), we get \(P=2(4 + 5)=2\times9 = 18\) units.

Answer:

C. 18 units