Question 87191
1) Solve the problem. 
The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 560.
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Let width be x; length = x+3
Volume = width*length*height
560 = x(x+3)*8
70 = x^2+3x
x^2+3x-70=0
(x+10(x-7)=0
x=7 inches (width)
x+3=10 inches (length)
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2) Solve the problem. 
A square lawn has an area of 1568 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
Area = pi(r^2)
1568 = pi(r^2)
r^2 = 1568/pi 
 r = 22.34 ft.
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3) Answer the question. 
If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?
Question 5 answers

Answer: square root (x^2 + y^2)
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4) Solve the problem. 
The area of a square is numerically 117 more than the perimeter. Find the length of the side.
Perimeter = 4s
Area = s^2
Area = 4s+117
s^2-4s-117 = 0
(s-13)(x+9)=0
Answer: s = 13 units
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Cheers,
Stan H.