The area of a rectangle is 300 square centimeters. If the sides of the rectangle are given as 5 centimeters and [tex] \sqrt{x+2600} [/tex] centimeters, then find the value of x and the other side of the rectangle.
x is 1000, and the other side of the rectangle is 60 cm. Area is found by multiplying length by width. Using the sides we know we have [tex]300=5(\sqrt{x+2600})[/tex] We divide both sides by 5: [tex]\frac{300}{5}=\frac{5\sqrt{x+2600}}{5}
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\\60=\sqrt{x+2600}[/tex] To "undo" a square root, we square both sides: [tex]60^2=(\sqrt{x+2600})^2
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\\3600=x+2600[/tex] Subtract 2600 from both sides: 3600-2600=x+2600-2600 1000=x Now we substitute this into the side with x: [tex]\sqrt{x+2600}=\sqrt{1000+2600}=\sqrt{3600}=60[/tex]
