Answer:
The area of the kids' pool is 900 square meters.
Step-by-step explanation:
The area of the kids' pool is 900 square meters. Only one side length needed to be found because it is a square (all sides are the same). The side length that can be easily found is the one that is shared with the rectangular pool. Using the Pythagorean theorem (a²+b²=c²), that missing side can be calculated. 40² is 1600 and 50² is 2500. To get the missing side ("b"), "c" must be subtracted by "a". 2500-1600=900. Even though that is the answer, the work is not done. The square root of 900 is 30. In the end, the missing side ("b") is 30 square meters. To find the area, you have to multiply 30 by 30. 30 times 30 is 900. So the kids' pool is 900 square meters.
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