Questions on Geometry: Rectangles answered by real tutors!

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Question 652552: If 9 is subtracted from the sum of two consecutive even integers, the result is 3 more than the larger of the integers. Find the integer.
Click here to see answer by Shana-D77(132)

Question 653341: the length of a rectangular mailing label is 2 centimeters less than twice the width. The perimeter is 50 cenimeters. find the dimensions of the label
L=
W=
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Question 653714: Martha would like a rectangular garden at the back of her yard. If she wants the garden to be 6 1/2 ft wide and she wants the garden to have an area of 53 sq ft, find the length of her garden.
Click here to see answer by josmiceli(19441)

Question 653779: The dimensions around a basketball court is 196 feet. If the length of the court is 8 feet more than twice the width, find the dimensions of the court.
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Question 653733: If the length of one side of a square is 12.0 , what is the perimeter of the square?
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Question 649421: 1. Find the dimensions of the rectangle whose perimeter is 40 inches and whose area is a maximum.
2. An open box is formed from a piece of cardboard 12 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.

3. A closed box, whose length is twice its width, is to have a surface area of 192 square centimetres. Find the dimensions of the box when the volume is maximum.
4. What is the least amount of material needed to make an open right cylindrical can of volume 8 cubic inches?

5. Find the dimensions of the right circular cone whose volume is 3000 cubic centimetres if its lateral area is a minimum.
6. Find two numbers whose sum is 10 and the sum of the squares is a minimum.

7. Divide 20 into two parts such that the product of one part and the square of the other is maximum.
8. The electrical potential at a point (x,y) on the line extending from (0, 3) to (2, 0) is given by . At what point on this segment is the potential a minimum?

9. A man wishes to heat his basement by plugging a long extension chord connected to a number of heaters into a 120-volt socket at the house. The power P in watts radiated by the 30-omhs heater is given by , where n is the number of heaters plugged in. What would be the maximum amount of heat?
10. The power P generated by a 120-volt generator of internal resistance 5 ohms is given by watts, where is the current in amperes. For what current does the generator produce maximum power?

Click here to see answer by ralhp09(3)

Question 253415: 4. If the perimeter of a rectangle is 8√2 cm, what is the smallest possible value of the length of one of its diagonals in cm?
I've tried:
let length be l, width be w, and diagonal be d
let l be x, then w will be:
(8√2-2x)/2 = 4√2-x
d^2=l^2+w^2
=x^2+(4√2-x)^2
=x^2+(32-8√2x-x^2)
=32-8√2x...
Click here to see answer by ralhp09(3)

Question 654843: sonja needs to borrow $2,251 to pay for her college classes. Sallie Mae is offering her a 4.5% simple interest loan with an interest charge of $405.18 over the life of the loan. How many years is Sallie Mae giving her to pay back the loan with interest?
Click here to see answer by josmiceli(19441)

Question 654892: The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = −16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?
Click here to see answer by DrBeeee(684)

Question 654900: I would just like to have it explained to me in words how to get the expression for this question. I would love the answer yes, but I want to know how to get it.
Yardbird Landscaping has 40 m of fencing with which to enclose a rectangular garden. If the garden is x meters long, express the garden's area as a function of the length.
Thanks for the help.
Click here to see answer by ewatrrr(24785)

Question 654693: if the area of a square is 81 how do i find the lenghth???
Click here to see answer by jim_thompson5910(35256)

Question 655241: Please help me with this!
A rectangle is 2 feet wide and 3 feet long. Each side is increased by the same amount to give a rectangle with twice the area of the original one. Find the dimensions of the new rectangle. (Hint: Let x feet be the amount by which side is increased.)
Thank You!
Click here to see answer by lwsshak3(11628)

Question 656794: How to find the dimensions of a rectangle without having the perimeter
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Question 656851: the width of a rectangle is one third its length. if the area of the rectangle is 20sq.inch.,what are the dimension of the said figure?

Click here to see answer by shweta(56)

Question 656843: the length of a rectangle is three less than twice the width and its equal to 44 sq. cm .find the dimension of rectangle.
Click here to see answer by checkley79(3341)

Question 656836: The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room? How Would I solve this ?
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Question 656960: What is the meaning ^ in mathematical symbol?
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Question 656960: What is the meaning ^ in mathematical symbol?
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Question 657032: The length of a rectangle is four times the width. It's perimeter is 90m. What are its dimensions? Using P=2l plus 2w.
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Question 657795: Consider a rectangle that has a diagonal of 20 feet and a perimeter of 52 feet. Find the area of this rectangle.
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Question 658432: The endpoints of a diameter of a circle are Q(4, -2) and R(3,6). Find the area in terms of x
Click here to see answer by MathLover1(20849)

Question 658769: the area of a rectangular garden is 81 square meter. the width is 6 meters longers than one-third of the length. find the length and the width of the garden
Click here to see answer by unlockmath(1688)

Question 658791: The length of a rectangle is three times it's width.
If the perimeter of the rectangle is 72 yards, find it's area.
Need help please!
Click here to see answer by checkley79(3341)

Question 658870: david currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 3 feet shorter than twice its width. He says that the perimeter is sixty feet. Find the dimensions in feet of his new garden
Click here to see answer by Theo(13342)

Question 659325: A rectangular room is 1.2 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
Click here to see answer by ggwilliams(1)

Question 659392: Five times the sum of a number and seven is twenty. Find the number
Click here to see answer by jim_thompson5910(35256)

Question 659457: An eight-acre building lot is five times as long as it is wide. What are its dimensions? [Note: 1 acre = 43,560 ft2.]

Click here to see answer by stanbon(75887)

Question 659525: Find the area of a rectangle whose length is x and its width is 4x+5
Click here to see answer by MathLover1(20849)

Question 659716: okay so imagine there are different types of squares making one big rectangle where would you put x and y at?? And there can be no same squares with the same size. if it's still not making sense here is a video and you'll see what i mean--> http://www.youtube.com/watch?v=YwnDEGmv5vA i have this really hard problem and i don't know where to place x and y please response fast as you can!.< Thank you for your time!!
Click here to see answer by lynnlo(4176)

Question 660078: David currently has a square garden. He wants to redesign his aren and make it into a rectangle with length is 3 feet shorter than twice its width. He deides that the perimeter should be 60 feet.Determine, in feet, of his new garden.
Click here to see answer by 121450(1)

Question 659920: the length of a rectangle is 2 feet less than twice the width. the area of a rectangle is 180 ft^2. find the length and width of the rectangle.
Click here to see answer by ReadingBoosters(3246)

Question 660454: How can I find the Base of a rectangle with a given area= 56 sq cm and a height= 7 cm?
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Question 660510: How to find the Height and Base of a rectangle who has an Area = 32 cm^2
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Question 660525: The widths of two similar rectangles are 25 ft. and 20 ft. What is the ratio of the perimeters? Of the ares?
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Question 660585: a rectangle is 1om longer than it is wide. its perimeter is 80m. find its length and width.
Click here to see answer by ReadingBoosters(3246)

Question 660866: The length of a rectangle is 2 1/2 times its width. Its area is 90 squares units. What are its dimensions?
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Question 660943: the length of a rectangle is 8 more than the width. The perimeter of the rectangle is 64. What is the width of the rectangle?
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Question 661085: the perimeter of a rectangular dog pen 72 ft. The width of the pen is 12 ft. What is the area of the rectangular pen?

Click here to see answer by ewatrrr(24785)

Question 661087: A 4in. by 6in. photograph is enlarged so that the length of the photo is 10.5 in. What is the width of the new photo?

Click here to see answer by ewatrrr(24785)

Question 661088: Simplify 12-4 x 11 divided by 2+15
Click here to see answer by colliefan(242)

Question 661268: among all rectangles that have a perimeter of 184, find the dimensions of one whose area is the largest
Click here to see answer by josmiceli(19441)

Question 661495: the length of a rectangle is 3 less than twice the width the perimeter is 30cm what is the length and width?

Click here to see answer by ReadingBoosters(3246)

Question 661560: a garden has a fence that is 48 feet long. if the width of the rectangular garden is 13 feet, what is the length of the garden?
Click here to see answer by ReadingBoosters(3246)

Question 661720: a rectangle has a width of 10cm and a length of 22cm what is its perimeter
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