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A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x2−10x+25 yd2. Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x , the length of the base will also involve the variable x .)

A school is installing a flagpole in the central plaza The plaza is a square with side length 100 yards as shown in the figure below The flagpole will take up a class=


Answer :

Solution

Area of the base of the flagpole is a square

The formula will be

[tex]\begin{gathered} Area=l^2 \\ \\ l=length\text{ of the flagpole} \end{gathered}[/tex]

From the question

[tex]\begin{gathered} Area=x^2-10x+25 \\ \\ Area=(x-5)^2 \\ \\ l^2=(x-5)^2 \\ \\ l=x-5 \end{gathered}[/tex]

Therefore, the length is

[tex](x-5)yd[/tex]

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