the coordinate plane shows the floor plan for a swimming pool. what is the area of the pools border?

Explanation:

Step1: Count grid - squares for outer and inner rectangles

Count the length and width of the outer rectangle (including the border) and the inner rectangle (the pool) by counting the grid - squares on the coordinate plane. Assume each grid - square represents 1 square meter. Let the length and width of the outer rectangle be (l_{1}), (w_{1}) and of the inner rectangle be (l_{2}), (w_{2}).

Step2: Calculate the area of the outer rectangle

The area of a rectangle is (A = l\times w). For the outer rectangle, if we count the grid - squares, assume (l_{1}=12) meters and (w_{1}=8) meters. So (A_{1}=l_{1}\times w_{1}=12\times8 = 96) square meters.

Step3: Calculate the area of the inner rectangle

For the inner rectangle (the pool), assume (l_{2}=8) meters and (w_{2}=4) meters. So (A_{2}=l_{2}\times w_{2}=8\times4 = 32) square meters.

Step4: Calculate the area of the border

The area of the border (A = A_{1}-A_{2}). Substitute (A_{1}=96) and (A_{2}=32) into the formula. (A=96 - 32=64) square meters.

Answer:

64 square meters