Question

mr. conner is placing stone tiles to make a patio. each tile is 1 square foot. the drawing shows the dimensions of his patio. how many stone tiles in total will mr. connor need for the patio? 480 stone tiles 360 stone tiles 240 stone tiles 300 stone tiles

Explanation:

Step1: Recall the trapezoid area formula

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides, and \(h\) is the height. Here, \(a = 12\) ft, \(b=18\) ft, and \(h = 20\) ft.

Step2: Substitute values into the formula

Substitute \(a = 12\), \(b = 18\), and \(h=20\) into the formula: \(A=\frac{(12 + 18)\times20}{2}\).
First, calculate the sum inside the parentheses: \(12+18 = 30\). Then, multiply by the height: \(30\times20=600\). Finally, divide by 2: \(\frac{600}{2}=300\) square feet.
Since each tile is 1 square foot, the number of tiles needed is equal to the area of the trapezoid.

Answer:

300 stone tiles