# Questions on Word Problems: Geometry answered by real tutors!

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 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 65239: write and solve an equation to find the measure of the third angle of a triangle with two angles measuring 32 degrees and 22 degrees. the sum of the angles of a triangle is 180 degrees. Click here to see answer by funmath(2925)

 Question 59073: find the surface area in square centimeters of a rectangular solid 8 cm long, 5 cm wide, and 3 cm high? Click here to see answer by 303795(595)

 Question 41003: Suppose you have two fish aquariums. One measures 4 feet long and 2 feet wide with a depth of 3 feet (see figure below. If you pour all the water into the other aquarium which is 7 feet long and 1.5 feet wide what is the depth of water in the second aquarium (Use V = lwh)? Click here to see answer by 303795(595)

 Question 61155: A family is traveling due west on a road that passess a famous landmark. At a given time the bearing to the landmark is N 62 W and after the family travels 5 miles farther the bearing is N 38 W. What is the closest the family will come to the landmark while on the road? Question: I came up with obtuse triangle with angles of 28, 128, 24. Found length of the side to be 5.77.by using law of sines. the answer in the book is 4.55. What did I do wrong? Click here to see answer by 303795(595)

 Question 65635: Solve each of the following problems. Be sure to show the equation used for the solution. Social science. In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? Geometry. The length of a rectangle is 2in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. Click here to see answer by Earlsdon(6287)

 Question 66055: For the floor plans given in exercise 27: Points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (-3, 18). Please help me with this problem and explain how to do this. Any help is apreciated.Thanks. Click here to see answer by algebrapro18(206)

 Question 66086: Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base. Click here to see answer by Cintchr(481)

 Question 66751: A rectangular piece of sheet metal with an area of 1200 in^2 is to be bent into a cylindrical length of stovepipe having a volume of 600 in^3. What are the dimensions of the sheet metal? I am to come up with a system of equations to solve this problem. The sides of the rectangle are labeled x and y. I know that {x*y=1200 in^2}; x would be the circumference of the cylinder which would mean that {x=2(PI)r}; the volume would be {(PI)r^2(y)=600 in^3}. I just can't figure out how to show it all in terms of y and x to figure out the equation. Thanks. Click here to see answer by Earlsdon(6287)

 Question 66863: A woman has a flower bed measuring 9 feet by 5 feet in her backyard. She wants to use two colors of flowers in the bed, one in the center and the other for a border of the same width on all four sides. If she has enough plants to cover 24 square feet for the border, how wide can the border be? Click here to see answer by ptaylor(2048)

 Question 66882: The volume of a 10-ounce box of cereal is 182.743 cubic inches. The width of the box is 3.1875 inches less than the length, and its depth is 2.31245 inches. Find the length and width of the box to the nearest thousandths. Click here to see answer by ankor@dixie-net.com(15656)

 Question 66936: 8) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3. Answer: Show work in this space. Click here to see answer by stanbon(57361)

 Question 66937: 6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, , where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet. Answer: Show work in this space . Click here to see answer by stanbon(57361)

 Question 67480: An open-top box is to be constructed from a 4 ft by 6 ft rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. Find the function V that represents the volume of the box in terms of x. Click here to see answer by Earlsdon(6287)

 Question 67500: Nellie Flowers applied for the postion of gardener for the estate of the retired eccentric mathematics professor Ben Dannett. Professor Dannett proposed the same problem to each gardneing applicant. The first applicant who was clever enough to solve the problem would get the gardening position - with very handsome salary! Professor Dannett asked each applicant to draw the plans fora garden walk from the following description, showing all dimensions: The outer edges of the walk form a regular polygon, with each side measuring 36 meters. The inner edges of the wall are parallel to the outer edges, and they form the same type of regular polygon, with each side measuring 30 meters. Each interior angle of the regular polygon measures 160 degrees.Needles to say, no applicant had solved the professor's conundrum before Nellie. Nellie solved the problem, and she got the job. How many sides do each of the two regular polygons have? Click here to see answer by 303795(595)

 Question 67815: Given the formula P=-x/2 +75. Find the unit price if seven items are sold. Click here to see answer by checkley71(8403)

 Question 67824: I have 2 problems Find the volume, B=4ft h=10ft v=???? also, if you can help me understand the formulas for the volumes of rectangular prisms, spheres, cylinder, rectangular pyramids, cones and i think its called triangular prism. i dont understand how to get the volume. thank you, travis Click here to see answer by stanbon(57361)

 Question 67852: Solve the following using applications of polymomials. A rectangular parking lot is 50 ft. longer than it is wide. Determine the diminsions of the parking lot if it measures 250ft. diagonally. Click here to see answer by ptaylor(2048)

 Question 68038: In the says before automobiles were available, railways called "inclines" brought people up and down hills in many cities. In Johnstown, Pennsylvania, the Cambria incline was reputedly the steepest in the world when it was completed in 1893. It rises about 514 ft. vertically as it moves 734 ft. hortizontally. -Use the distance formula to estimate the length of the track. Click here to see answer by josmiceli(9686)

 Question 68072: A zip lane is a taut rope or cable that you can ride down on a pulley the zip line at the right goes from a 9 feet tower to a 6 feet tall tower. The towers are 20 feet apart. What is the slope of the zip lane? Click here to see answer by checkley71(8403)

 Question 68044: Write the inverse, converse and contrapositive of the following conditional, and state whether each is true or false. If your computer screen is turned on, then you will see pictures. Click here to see answer by Edwin McCravy(8909)

 Question 68075: To support a young tree, you attach wires from the trunk to the ground. The obtuse angle the wire makes with the ground is supplementary to the acute angle the wire makes, and its three times as large. Find the measure of the angles. Click here to see answer by whatsmath?(5)

 Question 68362: please help me with this Two angles are complementary if their sum of their measures is 90 degrees.

 Question 68515: An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the fence. (L and W) Assume L is greater than W. Click here to see answer by josmiceli(9686)
 Question 68515: An architect has designed a motel pool within a rectangular area that is fenced on three sides. If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the fence. (L and W) Assume L is greater than W. Click here to see answer by stanbon(57361)

 Question 68989: the length of a rectangle is 4m more than the width.The area is 30m squared. Find the width and length. Click here to see answer by checkley75(3666)
 Question 68989: the length of a rectangle is 4m more than the width.The area is 30m squared. Find the width and length. Click here to see answer by Edwin McCravy(8909)

 Question 69587: Vinyl flooring costs \$25 per square yard. How much will it cost to buy vinyl flooring for a kitchen that is 4.5 yards wide and 7.5 yards long? Click here to see answer by checkley75(3666)

 Question 69772: A triangle has sides 3x + 7, 4x - 9, and 5x + 6. Find the polynomial that represents its perimeter. Thanks. Click here to see answer by Zoop(21)

 Question 69884: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total are, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth? Thank you for helping, these problems confuse me all the time! Click here to see answer by ankor@dixie-net.com(15656)

 Question 69883: Geometry. A square has sides of length 3x - 2 cm. Express the area of the square as a polynomial. Please help with this. Thanks. Click here to see answer by jim_thompson5910(28595)

 Question 69933: Please help to solve : If one gallon of stain covers 350 square feet, what is the least number of gallons of stain you need to cover the floor of a rectangular deck that is 25 feet long and 16 feet wide? Click here to see answer by checkley75(3666)

 Question 69949: Collin purchased an extension ladder consisting of two 7-foot sections. When full extended, the ladder measure 11 feet 9 inches. By how much do the two ladder sections overlap? Click here to see answer by checkley75(3666)

 Question 69932: please help!! Martha asked George if he could construct a 4 inch circle with a straight edge and a compass. George said he could. Martha asked George to do it. Could he? Why or why not? Click here to see answer by jim_thompson5910(28595)

 Question 69938: Write the converse of the conditional statement below : If it is raining, then there are clouds in the sky. Click here to see answer by jim_thompson5910(28595)

 Question 70135: Any help on this question would be greatly apreciated: A rectangular parking lot is 50 ft longer than it is wide. Determine the dimensions of the parking lot if it measures 250 ft diagonally. I need to show all work on this question. Click here to see answer by ankor@dixie-net.com(15656)

 Question 70252: A rectangular sheet of aluminum 300 inches long and 12 inches wide is to be made into a rain gutter by folding up the two longer parallel sides the same number of inches at right angles to the sheet. How many inches on each side should be folded up so that the gutter will contain the maximum volume of rainwater possible? Solve algebraically. Click here to see answer by ankor@dixie-net.com(15656)

 Question 70379: can you help with this wordproblem....A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of the pole.Find the angle between the wire and the pole to the nearest degree. Click here to see answer by funmath(2925)

 Question 70540: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle. I need some help, I have gotten myself confused. Thanks Click here to see answer by funmath(2925)

 Question 70666: Problem: A basement has a 24-foot by 32 -foot rectangular floor. The basement is flooded with water to a depth of 18 inches. Three pumps are used to pump the water out of the basement. Each pump will pump 8 gallons of water per minute. If a cubic foot of water contains 7.5 gallons, how many minutes will it take to pump all of the water out of the basement using the three pumps? What I have done: I found the volume to be 165,888ft^3. Do I set up a ratio of gallons/m to something? Do something with the 7.5 gall to ft^3? Find out how much each pump could pump and add? Help! Thanks for your time, Charlene Click here to see answer by Earlsdon(6287)

 Question 70669: Problem: A regular hexagon is inscribed in a circle with a two-inch radius. What is the side length of a square with the same area as the hexagon? Express your answer as a decimal to the nearest hundredth. What I have done: made many drawings, Found the area of the trapexoid and then x 2 to get the area of the hexagon. I know that a regular hexagon has all equal sides. Thanks for your help, Charlene Click here to see answer by stanbon(57361)

 Question 70704: If the sides of a square are decreased by 2cm, the area is deacreased by 36 cm^2. What were the dimensions of the original square? I am having a hard time with this problem and need some help, please. Thanks Click here to see answer by ankor@dixie-net.com(15656)

 Question 70730: The length of a rectangular playing field is 5 ft less than twice its width. If the perimeter of the playing field is 230 ft, find the length and width of the field. Click here to see answer by checkley75(3666)

 Question 70894: Hi, I am trying to solve what should be a simple problem, but can't figure it out. I would appreciate some help. The Hypotenuse of a right triangle measures 13 cm. Find the lengths of the legs if their sum is 17 cm. I tried setting one side to x, and the other to 17-x and setting them up in the pythagorean theorem, but had no luck, so I know I am doing something wrong. Thank you, Jodi Click here to see answer by checkley75(3666)

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