Evan bought two square rows the larger one measure 12 ft Square the smaller one had an area equal to 1/4 the area of the larger one what fraction of the side length of the larger rug with a side length of the smaller one
The smallest area is: A2 = (1/4) * (A1) Substituting: A2 = (1/4) * (12) A2 = 3 feet ^ 2 Since both are squares then: L2 = root (3) L1 = root (12) The relationship is: L2 / L1 = (root (3)) / (root (12)) Rewriting: L2 / L1 = (root (3)) / (root (3 * 4)) L2 / L1 = (root (3)) / (2raiz (3)) L2 / L1 = 1/2 Answer: The fraction of the side length of the larger rug with a side length of the smaller one is: L2 / L1 = 1/2
