The lengths of the sides of a square are multiplied by 1.2. How is the ratio of the areas related to the ratio of the side lengths?
Accepted Solution
A:
Answer:The ratio of the areas is equal to the ratio of the lengths squaredStep-by-step explanation:we know thatIf two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squaredIn this problemIf the lengths of the sides of a square are multiplied by 1.2thenthe scale factor is 1.2Remember that the ratio of the side lengths is equal to the scale factorsoThe ratio of the side lengths is equal to 1.2andThe ratio of the areas is equal to the scale factor squaredsoThe ratio of the areas is equal to 1.2^2thereforeThe ratio of the areas is equal to the ratio of the lengths squared