We are going to rewrite the ratio. We have: 2 1/4: 6 3/4 = (2 + 1/4) / (6 + 3/4) = (2.25) / (6.75) = (225/100) / (675/100) = (45/20) / (135/20) = (9/4) / (27/4) = 9/27 = 3/9 = 1/3 Therefore, we have: A1 / A2 = 1/3 A2 = 3A1 A1: old patio A2: new patio Answer: The area of the new patio is three times larger than the area of the old patio.
If you graph your points on a coordinate grid, you will see the rise/run. From the point -4, -3 to the point 14,0 ; there is a rise of 3 and a run of 18. The rise goes over the run and creates a fraction of 3/18 and 3/18 simplified is 1/6! Hope this helps!
