Tutors Answer Your Questions about Geometry Word Problems (FREE)
Question 44596: The second side of a triangle is 1 centimeter more than three times the first side. The third side is 2 centimeters longer than the second side. If the perimeter is 46 centimeters, find the lengh of each side of the triangle
Click here to see answer by Nate(3500) |
Question 44895: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
Click here to see answer by Chris435435(8) |
Question 45990: Here is the problem:
The area of a square is twice the area of a triangle. The base of the triangle is 2 less than the side of the square and the height of the triangle is twice the side of the square. Find the side of the square. What equation using one variable would you use to find the side of the square? And how would you solve the equation? Thank you so much.
Click here to see answer by Paul(988) |
Question 46153: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A) 5 cm B) 12 cm C) 4 cm D) 11 cm
Click here to see answer by gsmani_iyer(201)  |
Question 47624: Swimming pool design. An architect has designed a motel pool within a rectangular area that is fenced on three sides (the 4th side is framed by a building). If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions of the two lengths and one width? Assume L is greater than W.
Click here to see answer by Nate(3500) |
Question 47782: Open-top box. Thomas is going to make an open-top box by cutting equal squares from four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches then what size square should be cut from each corner?
Thanks
Click here to see answer by Paul(988) |
Question 48121: This is a Value Word Problems lesson. I learned it in chapter 19 but it doesn't help for my problem. Here it is
The expensive ones cost $7 each, whereas the worthless ones sold for only $2 each. Monongahela spent $111 and bought three more expensive ones than worthless ones. How may of each kind did she buy.
THE ANSWER IS 10 WORTHLESS ONES AND 13 EXPENSIVE ONES. I WANT TO KNOW HOW DID THEY GET THAT.
PLEASE AND THANK YOU
Click here to see answer by tutorcecilia(2152)  |
Question 48750: A rectangular swimming pool is 12 meters wide and 14 meters long. Surrounding the pool is a concrete walkway of uniform width. The combined area of the pool and walkway is 360 square meters. Find the width of the walkway.
Thank you so much. I have been trying to solve this problem all summer, but just can't.
Click here to see answer by checkley71(8403) |
Question 48964: This question is squaring a binominal. I hope this is the right place.
Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had? This question is looking for squaring a binominal
Click here to see answer by cowess(34) |
Question 49079: The Farmer has 3 fields. One field is an equilateral triangle. One field is a circle. One field is a square. The square field is 75% larger in area than the triangular field. The square field is 50% larger in area than the circular field. In order to completely fence all three fields exactly 4000 meters of fencing is required. What is the total area of all three fields?
This is presented to me as a conundrum. I have worked the problem thus far:
a= circle area
x= triangle area
n= square area



2 times Pi times the radius is a circle's circumference
4 times the length of a side is a square's perimeter
3 times the length of a side is an equilateral triangle's perimeter
Pi times the radius of the circle squared is the circle's area
The length of the side of the square squared is the square's area
Base times Height of a triangle is the triangle's area
I am sort of fuzzy about how to find the height of the equilateral triangle, but I suspect I need to know the Pythagorean theorem, which I don't remember from college.
My equation to find all the perimeter's is:

Thank you for your help. By the way, I have been placed under a time limit of Wednesday night to achieve the answer.
Click here to see answer by my_math_ace(1) |
Question 49187: A staff member of a local university reported the following: “Out of one senior class of 500 students, 281 are taking English, 196 are taking English and History, 87 are taking History and a foreign language, 143 are taking foreign language and English, and 36 are taking all three.” Later in the week she was fired. Explain why.
Click here to see answer by josmiceli(19441)  |
Question 49327: A woodman chops a halfway through a tree having a diameter of 2 meters. One face of the cut being horizontal and the other inclined at 60 degrees. Find the volume of the wood cut out. I know the answer is 1.155 cu. units, but how can we arrive at that answer?
Click here to see answer by kev82(151) |
Question 49567: The measure of one angle of a triangle is 30 degrees less than the measute of the second angle. The measure of the third angle is 20 degrees less than the sum of the measures of the other two. find the measures of each angle of the triangle.
sorry, I have been trying to solve this but I can't
-mc
Click here to see answer by Earlsdon(6294) |
Question 49768: I am actually baffled, I am asking this for my daughter, I cannot help her because my math is very limited so even if I read how to solve I would not get very far. It is a story problem involving geometry (I think). Here is her story problem question:
To promote a new delivery service, Pizzaroo is including a free Collectable Card with every pizza purchase. What a deal! So you decided to order a Jelly Bean Pizza. Yum!
When the pizza arrived, you noticed that the free Collectable Card was in the corner of the square box, so that its corner just barely touched the outside of the perfectly-circular pizza. The Collectable Card measures exactly 140 mm by 70 mm.
What is the diameter of the pizza, in millimetres? Please round to the nearest millimetre.
Thanks for your help in advance!
Click here to see answer by venugopalramana(3286) |
Question 50139: Sales of a software company increased linearly from $120,000 in 1996 to $180,000 in 1999
A) find an equation that expresses the sales (y) in year (x) (where (x)= 0 corresponds to 1996)
and
B) estimate the sales in 2001
Click here to see answer by lkwtcnj(8) |
Question 50351: At a delicatessen, ham costs $2.49 per pound and Swiss cheese costs $3.79 per pound. The customer has $9.50 to spend on 2 pounds of ham and some cheese. How much cheese can she purchase? Write an equation and solve it.
Click here to see answer by rapaljer(4671)  |
Question 50355: Jamie and her friends brought 1 cheese pizza, 1 mashroom pizza and 1 pepperoni pizza. The cost of each include tax are:
Cheese $7.95
Mashroom $8.95
Pepporni 8.45
Each Pizza consit 0f 8 slices. Jamie ate 1 slice of cheese, 2 slices of mashroom, and 1 slice of pepporni. What was the cost of the pizza that Jamie ate to the nearest tenth?
Click here to see answer by tutorcecilia(2152)  |
Question 50639: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared.
Click here to see answer by stanbon(75887) |
Question 50639: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared.
Click here to see answer by checkley71(8403) |
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