2020 AMC 8 Problems/Problem 25
Rectangles and and squares and shown below, combine to form a rectangle that is 3322 units wide and 2020 units high. What is the side length of in units?
Contents
Solution 1
For each square , let the sidelength of this square be denoted by .
As the diagram shows, We subtract the second equation from the first, getting , and thus , so the answer is ~icematrix, edits by starrynight7210
Solution 2
WLOG, assume that and . Let the sum of the lengths of and be and let the length of be . We have the system
which we solve to find that .
-franzliszt
Solution 3
Since each pair of boxes has a sum of or and a difference of , we see that the answer is
-A_MatheMagician. Note this is just a more quicker way to do it to get \boxed{(\text{A}) 651}.$ https://artofproblemsolving.com/community/my-aops
See also
2020 AMC 8 (Problems • Answer Key • Resources) | ||
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