Questions on Word Problems: Geometry answered by real tutors!

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Question 228344: the area of a rectangle is 525cm2. find the dimensions of a rectangle if the ratio of the length to the width is 7:3.
Click here to see answer by rfer(12646)

Question 228347: A triangle has a perimeter of 24 yards. The shortest side is 4 yards shorter than the longest side, and the sum of the shortest and longest sides is equal to twice the length of the other side. What are the lengths of the three sides of this triangle?
Hi
I have the answer but I am getting stuck on the algebraic formula that would arrive at that answer. Can someone please lead me in the right direction?
Thanks
Matt
Click here to see answer by checkley77(12569)

Question 228488: I am trying to answer a word problem, and I am sure there is a formula that should be used, but I am at a loss. Here is the question:
In wood shop, they only make 3 legged stools and 4 legged tables. If you know that they have a total of 31 legs for the day of production, how many tables and stools were made that day?
I just started trying numbers and came up with:
4 tables and 5 stools
7 tables and 1 stool
9 stools 1 table
but I am not sure if this is right, and how I really should be solving based on the information given, please help!
Click here to see answer by stanbon(57224)

Question 228526: The perimeter of a rectangular screen is 272 inches. If the length of the screen exceeds twice its width 10 inches, what is the screen length and width?
Click here to see answer by drj(1380)

Question 228540: A rectangular vegetable garden has a length of 5 feet and a width of 8 feet. The length is increased by 2 feet.By how many square feet does the area increase?
Click here to see answer by rapaljer(4667)

Question 228532: the width of a rectangle is 4 inches less than than its length. The perimeter is 112 inches. Find the length and the width of the rectangle.
Click here to see answer by mangeshpjoshi(15)

Question 228431: if each of the sides of a square is lengthened by 4 m, the area becomes 49 m². find the length of a side of the original square
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Question 228492: a clock with a diameter of 23 feet. minute hand is 14ft., hour hand is 9 ft. how much farther does minute hand travel than hr. hand in 24 hours.
Click here to see answer by ankor@dixie-net.com(15625)

Question 228650: you would like to fence in an area next to your house in which your new puppy will be able to play. you have 10 yards of fencing material to use and plan to use as one side of the play area. (in other words, the ten yards of fencing will only be used for three sides of the play area.) what dimensions should you use in order to maximize the area of the "play pen"? what area will the pen have?
plz help me!!!!
Click here to see answer by nerdybill(6948)

Question 228686: A 27-foot board is cut into pieces with lengths in the ratio 4:5. Which is the length of the longer piece?
Click here to see answer by rapaljer(4667)

Question 228686: A 27-foot board is cut into pieces with lengths in the ratio 4:5. Which is the length of the longer piece?
Click here to see answer by solver91311(16868)

Question 228698: The number of gallons T of paint needed to paint a room varies directly with the number of square feet A to be painted. What is the formula?
Click here to see answer by rapaljer(4667)

Question 228706: one side of a rectangular patio is 4 feet longer than the other.
if the area of the patio is 140 square feet what are the dimentions of the patio?
Click here to see answer by user_dude2008(1861)

Question 228847: A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?
Click here to see answer by drj(1380)

Question 228852: The perimeter of a rectangular garden is 110 ft. the length of the garden is 5 ft more than the width. What are the length and width of the garden....
Click here to see answer by rfer(12646)

Question 228895: find the measures of an isosceles triangle if the measure if the vertex angle is 40 degrees less than the sum of the base angles
Click here to see answer by edjones(7569)

Question 229192: Given the volume of a box equals 72 cubic inches, the height of the box equals the width of the box, and the length is five more than the width, find the height of the box.
Click here to see answer by ankor@dixie-net.com(15625)

Question 229391: A farmer has 2400 feet of fencing and wants to enclose a rectangular area. What is the maximum area?
(do not type in units)

Click here to see answer by rfer(12646)

Question 229344: The perimeter of a rectangular field is yards. If the width of the field is yards, what is its length?

Click here to see answer by checkley77(12569)

Question 229401: the ancient greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the lengthto the width was approximatly 8 to 5, the golden ratio. the length of a rectangular painting is 2 ft longer than its width, then for what dimentions would the length and width have the golden rule?
Click here to see answer by checkley77(12569)

Question 229503: The set of all points that are one unit from (0,-1). Write the equation for the given set of points. Then graph your equation.
I can't figure out the equation and graph. Please help.
Thank you
Leona Anderson
Click here to see answer by scott8148(6628)

Question 229792: a table is 3 times as wide as it is long. the peremiter is 256.what is the width
Click here to see answer by checkley77(12569)

Question 229851: what is (7+2a)(7-2a)
Click here to see answer by ly12603(44)

Question 229851: what is (7+2a)(7-2a)
Click here to see answer by rfer(12646)

Question 229850: what is (1+3a)(1-3a)
Click here to see answer by ly12603(44)

Question 229848: what is (8x-11)(8x+11)
Click here to see answer by ly12603(44)

Question 229950: The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. If a swimmer finishes a race in 37.5 seconds having an average speed of 4ft./sec. Find the average speed of a swimmer if it takes 30 seconds to finish the race.
Click here to see answer by stanbon(57224)

Question 230001: If each of the sides of a square in lengthened by 4m. the area becomes 49m^2. Find the length of a side of the original square.
Click here to see answer by rfer(12646)

Question 230068: A farmer plans to fence a rectangular grazing area along a river with 340 yards. What is the largest area he can enclose?
Click here to see answer by nerdybill(6948)

Question 230115: If two of the sides of a triangle have lengths 2 and 1000, how many integer values are possible for the length of the third side?

Click here to see answer by vleith(2825)

Question 229854: The side of a square has length s. The length of a rectangle is 4 meters more than the side of the square and the width of the rectangle is 2 meters less than the side of the square. The perimeter of the rectangle is 24 meters less than twice the perimeter of the square. Find the dimensions of each figure. Can you show me how to step up the equation correctly?
Click here to see answer by ankor@dixie-net.com(15625)

Question 230156: The area of a square is between 16 and 60 inclusively. What are all the possible integer values for the length of the sides of the square?
Click here to see answer by Theo(3458)

Question 230347: the obtuse angle of an isosceles triangle measures 120 degrees. write and solve an equation to find the measure of the base angles.
Click here to see answer by stanbon(57224)

Question 230498: The bottom of Jim's rectangular bait box is 3 inches longer than it is wide. The diagonal is 15 inches. What is the area of the bottom of the box?
Click here to see answer by unlockmath(1599)

Question 230563: If the area of a square is 169 cm2, what is the length of the diagonal?
Click here to see answer by drj(1380)

Question 230686: The normal body temperature of a dog is 38.6 degrees C. Does your dog have a fever if her temperature is 101.1 degrees F. Use the formula: F= 9/5(degrees C)+ 32 to help you decide.
Click here to see answer by rfer(12646)

Question 230790: I have a lot measuring 183ftx531ftx105ftx528ft. What is the square footage of my lot?
Click here to see answer by checkley77(12569)

Question 230808: A rectangular swimming pool is 50 ft. wide, 100 ft. long, and 10 ft. deep. The pool will be filled to a line 2 ft. from the top. The water company charges $2.25/1000 ft3. How much does it cost to fill the pool?
Click here to see answer by checkley77(12569)

Question 230898: Word Problem Two -A rectangular plot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of a uniform width. The area of the sidewalk is 68 square meters. Find the width of the walk.. (Show a complete algebraic solution for the problem and check the answer.)

I DREW A PICTURE THEN WAS LOST….
He said that you can possibly use quadratic equation but don’t have to..

Click here to see answer by josmiceli(9652)

Question 230884: A rectangular garden has a perimeter of 34 yards. Fencing across the length costs $2 per yard and fencing along the width costs $1 per yard. The total cost of the fencing is $58. Find the length and width of the rectangle.
Click here to see answer by checkley77(12569)

Question 231445: what is the maximum number of 4-cm cubes that can fit into abox which measures 15 cm by 10 cm by 18 cm
Click here to see answer by Theo(3458)

Question 231448: what is the maximum number of 2-cm cubes that can fit into abox which measures 15 cm by 18 cm
Click here to see answer by rapaljer(4667)

Question 231444: what is the maximum number of 4-cm cubes that can fit into abox which measures 15 cm by 18 cm
Click here to see answer by rapaljer(4667)

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