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 2 - 6x + 9 yd². Area of the flagpole plot: x2 - 6x +9 100 yards The length of the base of the flagpole is yards. 100 yards 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 , the length of the base will also involve the variable a.) Submit Assignment Black Question Menu Next

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A school is installing a flagpole in the central plaza. The plaza is a square with a side length of 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 \(x^2 - 6x + 9 \, \text{yd}^2\).

**Area of the flagpole plot:** \(x^2 - 6x + 9\)

![Green square indicating the plaza with a smaller beige square in the center, representing the flagpole plot.]  
- Side of plaza: 100 yards
- Side of flagpole plot: Substitute to find

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 \(x\).)

The length of the base of the flagpole is \(\_\_\_\) yards.
Transcribed Image Text:A school is installing a flagpole in the central plaza. The plaza is a square with a side length of 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 \(x^2 - 6x + 9 \, \text{yd}^2\). **Area of the flagpole plot:** \(x^2 - 6x + 9\) ![Green square indicating the plaza with a smaller beige square in the center, representing the flagpole plot.] - Side of plaza: 100 yards - Side of flagpole plot: Substitute to find 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 \(x\).) The length of the base of the flagpole is \(\_\_\_\) yards.
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