The width of the rectangle, equal to p meters, is 3/4 of its length and 1/3 of the side of the square

| September 11, 2021 | education

The width of the rectangle, equal to p meters, is 3/4 of its length and 1/3 of the side of the square. What percentage of the area of a square is the area of a rectangle?

To solve this task, remember, in order to find the number by its part, expressed as a fraction, you need to divide this number by a fraction. Knowing that the width – p is 3/4 of the length, we calculate the length of the rectangle.
p: 3/4 = p * 4/3 = 4p / 3.
The area of the rectangle is equal to the product of the length and the width. S = a * b, where a is the length and b is the width. Let’s calculate the area of the rectangle.
4p / 3 * p = 4p ^ 2/3.
Let’s calculate the length of the side of the square.
p: 1/3 = 3p.
Let’s calculate what percentage is the area of the square of the area of the rectangle.
3p: 4p ^ 2/3 * 100 = 3p * 3 / 4p ^ 2 * 100 = 9 / 4p * 100 = 2.25p * 100 = 225p%.
Answer: 225r%.



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