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Through urban gardening, we can eventually achieve economic sufficiency and food security aside from ensuring a daily organic source of our food. Can a square urban garden with a length of (2x2 - 7) meters exactly fit in a rooftop with an area represented by the expression (4x4 - 14x2+ 49) square meters without wasted spaces? Justify your answer.

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Answer :

Using the area of a square and the square of the subtraction, it is found that the square urban garden can fit exactly into the rooftop without wasted spaces.

What is the area of a square?

The area of a square of side length s is given by the square of s as follows:

A = s².

What is the square of the subtraction notable product?

The square of the subtraction notable product is given as follows:

(a - b)² = a² - 2ab + b².

For this problem, the garden has side length given by:

s = 2x² - 7.

Hence the area of the square garden will be given as follows:

A = (2x² - 7) = 4x^4 - 28x² + 49.

This area of the square is less than the area of the rooftop, as x > 0, hence the square urban garden can fit exactly into the rooftop without wasted spaces.

More can be learned about the area of a square at https://brainly.com/question/25092270

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