Question

On a coordinate plane, there are points at (-2, 1), (4, 1), (4, -3), and (-2, -3). Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. To surround the garden with a stone path, how many feet of stone does she need?

a) 4 feet
b) 6 feet
c) 10 feet
d) 20 feet

Answer 1

To find the stone needed to surround the garden, calculate the perimeter of the rectangle formed by the given points. The perimeter is 20 feet.

Step-by-step explanation:

To surround the garden with a stone path, Marina needs to find the perimeter of the rectangle. The four points given form a rectangle, and the sides of the rectangle represent the length and width of the garden. To find the perimeter, we need to add the lengths of all four sides.

Length = Distance between (-2, 1) and (4, 1) = 4 - (-2) = 6 feet

Width = Distance between (4, 1) and (4, -3) = 1 - (-3) = 4 feet

Perimeter = 2 * (Length + Width) = 2 * (6 + 4) = 20 feet

Therefore, Marina needs 20 feet of stone to surround the garden.