Question

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

Answer 1

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