The ratio of the areas of the two squares is 25 to 9. The side length of the smaller square is 30 meters. How long is the side length of the larger square? Explain your reasoning
Ratios of Area of the two squares = 25:9 So then let the areas be A1 = 25A and A2 = 9A, A is common element Side of the smaller area S2 = 30 meters Area of the smaller square A2 = 30 x 30 = 900 We have area of smaller square as 9A = 900 => A = 100 Area of the large square = 25A = 25 x 100 = 2500. Hence S1^2 = 2500 => S1 = 50 meters which is 20 meters longer than the side of the smaller square.
