SOLUTION: Suppose the length of a side of square A is 70% of the length of a side of square B. What percent of the area of square B is the area of square A? Define a variable and write a pr

Algebra ->  Rectangles -> SOLUTION: Suppose the length of a side of square A is 70% of the length of a side of square B. What percent of the area of square B is the area of square A? Define a variable and write a pr      Log On


   

Question 828616: Suppose the length of a side of square A is 70% of the length of a side of square B. What percent of the area of square B is the area of square A? Define a variable and write a proportion to solve.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Length of side for square B, let this be w.
Length of side for square A is %287%2F10%29w.

Area for square A is %2849%2F100%29w%5E2, and area for square B is w%5E2.

The question, "what percent of area of B is the area of A", means how much of area A is in area B? You specified a percentage value for A in B.
%28%2849%2F100%29w%5E2%29%2F%281%2Aw%5E2%29
49%2F100
This is 49%.