A circle has an area of 324π cm2. What is the radius?
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We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:
We can use the relationship given in the problem, that is, its length being five less two times its width, that is:
Replacing in the formula for the area we get:
Now we use the distributive law:
Let the number of shaded square be x. And it is given that total number of squares are 25.
Substituting the values
Performing cross multiplication
So 5 squares should be shaded to create a region with a geometric probability of 0.2 .