Question

Natasha is building a rectangular picture frame for her favorite photo. The coordinates of the vertices of the frame are (0, 0), (0,8), (12, 8), and (12, 0). Each grid square has a length of 3 centimeters. Find the amount of wood, in centimeters, needed for the perimeter.

Answer 1

The perimeter is 120 cm.

If we plot the points we see that (0, 0) and (0, 8) form a vertical line segment whose length is 8 units long; since each grid square is 3 cm, this makes this side 8(3) = 24 cm.

The points (0, 8) and (12, 8) form a horizontal line segment whose length is 12 units; 12(3) = 36 cm.

(12, 8) and (12, 0) form a vertical line segment whose length is 8 units; 8(3) = 24 cm.

(12, 0) and (0, 0) form a horizontal line segment whose length is 12 units; 12(3) = 36 cm

The perimeter is then 24 + 36 + 24 + 36 = 120 cm.