The dimensions of a 2-cm by 6-cm rectangle are multiplied by 5. How is the area of the rectangle affected?

What if the dimensions of the original rectangle in Exercise 1 had been multiplied by \(\cfrac{1}{2}\)? How would the area have been affected?

Evan bought two square rugs. The larger one measured 12 ft square. The smaller one had an area equal to \(\cfrac{1}{4}\) the area of the larger one. What fraction of the side lengths of the larger rug were the side lengths of the smaller one?

On Silver Island, a palm tree, a giant rock, and a buried treasure form a triangle with a base of 100 yd and a height of 50 yd. On a map of the island, the three landmarks form a triangle with a base of 2 ft and a height of 1 ft. How many times the area of the triangle on the map is the area of the actual triangle?