Tutors Answer Your Questions about Rectangles (FREE)
Question 143841: PROBLEM:DIMENSIONS OF A PARKING LOT:
A SHOPPING CENTER HAS A RECTANGULAR AREA OF 40,000 YD^2 ENCLOSED ON THREE SIDES FOR A PARKING LOT. THE LENGTH IS 200 YD MORE THAN TWICE THE WIDTH. WHAT ARE THE DIMENSIONS OF THE LOT?
** IN THIS PRBLEM I ALWAYS SEEM TO KEEP GETTING A NEGATIVE ANSWER... I DO NOT UNDERSTAND THE PROPER WAY OF EVEN SOLVING THIS PROBLEM.. PLEASE HELP BY SHOWING ME HOW YOU WOULD WORK THIS THURALLY OUT.. STEP BY STEP, THANKS SO MUCH :)
Click here to see answer by checkley77(12569) |
Question 144235: You have 172 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.
possible answers: D, 43 by 43 is the max.
Solution: The area the product of 2 sides. Since it's a rectangle, 2 adjacent sides will use 1/2 of the 172 feet, or 86 feet.
The area = L x (86-L), or 
Set the 1st derivative = 0.
86-2L=0 (Yes, it's a calculus problem any time you want max or minimum.)
86 = 2L
L = 43.
A) 45ft by 41ft B) 86ft by 21.5ft
C) 86ft by 86ft D) 43ft by 43ft
Click here to see answer by Alan3354(31518)  |
Question 144272: Please can you help me? Thank you.
Do you think that it would be easier or more difficult to visualize solids as compared to objects in one or two-dimensional planes? Are there obvious examples that you can come up with of solids that appear or are being used in our daily lives and the environment that surrounds us?
Click here to see answer by vleith(2825) |
Question 145162: Suppose the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78. Which I figured that out the length of the rectangle is 21 inches and the width is 18 inches. The next question asks "Set up and equation involving only W, the width of the rectangel?" I am not sure what that is asking???
Click here to see answer by shahid(44) |
Question 147042: Robin is mowing a rectangular field that measures 24 yards by 32 yards , by pushing a mower around and around the outside of the plot. This creates a widening border that surrounds the unmowed grass in the center. During a brief test, Robin wonders whether the job is half done yet. How wide is the uniform mowed border when Robin is half done?
Click here to see answer by edjones(7569)  |
Question 148149: rectangle ABCD has AB = 16 and BC = 6. Let M be the midpoint of side AD and N be the midpoint of side CD. Segments CM and An intersect at G. Find the length AG.
I did this on the geometer's sketchpad and i got 6.66748, but i don't understand how to do it by hand. Thanks for the help!!!
Click here to see answer by scott8148(6628)  |
Question 148548: you're trying to put wallpaper around a rectangular space that has a perimeter of 52 ft. You can use any of the following dimensions for the room:
b x h
10 x 16
11 x 15
12 x 14
13 x 13
14 x 12
(and so forth)
With these dimensions in mind, write an algebraic expression to show how the breadth (b) and the height (h) are related.
Click here to see answer by Alan3354(31518)  |
Question 148394: a rectangular sheet of paper is 20.5 cm wide. when it is folded in half, with the crease running parallel to the 20.5 cm sides, the resulting rectangle is the same shape as the unfolded sheet. Find the length of the sheet, to the nearest tenth of a cm. (in Europe, the shape of notebook paper is determined by this similarity property.)
Click here to see answer by oscargut(900)  |
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