Question

the coordinate plane shows the floor plan for a swimming pool. what is the area of the pools border? a. 50 square meters b. 65 square meters c. 80 square meters d. 100 square meters e. 125 square meters

Explanation:

Step1: Calculate the area of the larger parallelogram

The base of the larger parallelogram is \(16\) meters and the height is \(10\) meters. Using the formula for the area of a parallelogram \(A = base\times height\), we have \(A_{1}=16\times10 = 160\) square meters.

Step2: Calculate the area of the smaller parallelogram (pool)

The base of the smaller parallelogram is \(10\) meters and the height is \(6\) meters. Using the formula \(A = base\times height\), we have \(A_{2}=10\times6=60\) square meters.

Step3: Calculate the area of the pool's border

Subtract the area of the pool from the area of the larger figure. \(A = A_{1}-A_{2}\), so \(A=160 - 60=100\) square meters.

Answer:

D. 100 square meters