Tutors Answer Your Questions about Rectangles (FREE)
Question 1059993: The total area of a rectangle is 120 feet squared. The length of the rectangle is three times the width, plus 9. Using the above information, write out the quadratic equation you would use to solve: what is the length and width of the rectangle? Finally, what is the length and width of the rectangle?
How to solve ?
Click here to see answer by jorel1380(3719)  |
Question 1076979: The length of a rectangle is 3 times its width. If the width is doubled and the length is increased by 1, the area is increased by 56.
Represent the length in terms of the width: Length = ______
Represent the area of the original rectangle using w and the expression from part a.
Area of original rectangle = ________________
Represent the width of the new rectangle. Width of new rectangle = _____
Represent the length of the new rectangle. Length of new rectangle = _______
Represent the area of the new rectangle. Area of the new rectangle = _________
Distribute in the equation from part e to get a quadratic equation: ___________________
Write the equation that compares the areas of the old and new rectangles:
___________________________________= ________________________________
Combine like terms and write the equation in standard form.
___________________________________________________________
a = _____ b = ______ c = _______
Plug the values from part i into the quadratic formula:
Simplify and solve. Show your work.
Click here to see answer by Boreal(15235)  |
Question 1077454: The length of a rectangle is 7 centimeters less than its width. What are the
dimensions of the rectangle if its area is 228 square centimeters? The length of the rectangle is _____cm, The width of the rectangles is __cm.
Click here to see answer by jorel1380(3719)  |
Question 1077481: The length of rectangle is represented by x and the width by y. The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width. If the length is 25 meters and the diagonal is 45 meters, which quadratic equation could be used to determine the width of the rectangle?
Click here to see answer by Boreal(15235)  |
Question 1077481: The length of rectangle is represented by x and the width by y. The square of the diagonal of the rectangle is equal to the sum of the squares of the length and the width. If the length is 25 meters and the diagonal is 45 meters, which quadratic equation could be used to determine the width of the rectangle?
Click here to see answer by MathTherapy(10552)  |
Question 1077986: Joe is designing a triangular garden in a corner of his backyard. The smallest side of the garden is one half 1/2 of the length of the longest side. The middle side is 3 feet shorter than the longest side. If he will need 22 feet of fencing to surround the garden, find the measure of the shortest side.
The shortest side will be
nothing feet in length.
Click here to see answer by jorel1380(3719)  |
Question 1078207: the area of a rectangle patio A(p)=32 p-p^2 where A(p) is the area in square meters and p is the width of the rectangle in meters
a) what dimensions give the maximum area of the patio
b) what is the maximum area of the patio
Click here to see answer by htmentor(1343)  |
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