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marshall27 [118]
1 year ago
8

What is the measure of one side of the square if its area is 100x² - 160x + 64?

Mathematics
1 answer:
earnstyle [38]1 year ago
8 0

The Area of a Square is the square of the measure of one side of the square.

Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.

The given expression is:

100x^2-160x+64

Rewrite the expression as:

\begin{gathered} 10^2x^2-(2\times10\times8)x+8^2 \\ =(10x)^2-(2\times10x\times8)+8^2 \end{gathered}

Recall the binomial expansion:

(a-b)^2=a^2-2ab+b^2

Substituting a=10x and b=8, it follows that the expression becomes:

(10x-8)^2

Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.

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