Question

what is the perimeter of square ghij? perimeter = \boxed{} units

Explanation:

Step1: Find the side length of the square

Looking at the coordinates, the distance from \( J \) to \( G \): \( J \) is at \( (1, 0) \) (wait, actually from the grid, \( J \) is at \( (1, 0) \)? Wait, no, looking at the grid, \( J \) is at \( (1, 0) \)? Wait, no, the x - coordinate of \( J \) is 1? Wait, no, the grid lines: from \( J \) (let's check the x - axis) \( J \) is at \( x = 1 \)? Wait, no, looking at the points: \( J \) is at \( (1, 0) \), \( G \) is at \( (8, 0) \)? Wait, no, the distance between \( J \) and \( G \): the x - coordinates, \( J \) is at \( x = 1 \)? Wait, no, the grid has each square as 1 unit. Wait, \( J \) is at \( (1, 0) \), \( G \) is at \( (8, 0) \)? No, wait, the horizontal distance from \( J \) to \( G \): let's count the units. From \( x = 1 \) to \( x = 8 \)? No, wait, the point \( J \) is at \( (1, 0) \), \( G \) is at \( (8, 0) \)? Wait, no, the vertical distance from \( J \) to \( I \): \( J \) is at \( (1, 0) \), \( I \) is at \( (1, - 8) \). So the length of \( JI \) is \( |0 - (-8)|=8 \) units. Since it's a square, all sides are equal. So the side length \( s = 8 \) units.

Step2: Calculate the perimeter of the square

The formula for the perimeter of a square is \( P = 4s \), where \( s \) is the side length. Substituting \( s = 8 \) into the formula, we get \( P=4\times8 = 32 \).

Answer:

32