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A diagram of a rectangular pool with the diagonal of 50 meters is shown below. Connected to the pool is a square shaped kid’s pool.
What is the area of the kid’s pool in the diagram?

A diagram of a rectangular pool with the diagonal of 50 meters is shown below Connected to the pool is a square shaped kids pool What is the area of the kids po class=

Respuesta :

The pool is 40 since half of the other rectangle is 50 which the 2 halfs equal 100 and we already know the top side measurement which is 40 and 2 sides of 40 equal 80 and there’s 20 left so this concludes that’s the sides are 10 and square sides are congruent to each other which concludes that’s the AREA is 40
MJR1234

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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