Questions on Word Problems: Geometry answered by real tutors!

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Question 24286: find the area of a fenced yard with a length of 6 yards and width of 5 yards.
(30)
Click here to see answer by hayley(1)

Question 28542: A square fountain has an area of 16 square feet. A flower garden is planted around the fountain. If the garden extends 8 feet beyond the fountain, what is the area of the garden.
Click here to see answer by stanbon(75887)

Question 28455: In the figure ABCD is a rectangle with AB=12cm and BC=7 cm. Inside ABCD there is another tilted rectangle KLMN. where AK= BL= CM= DN= x cm. If the area of KLMN is 54 cm2 find x.
Click here to see answer by venugopalramana(3286)

Question 28688: For what values of n does the product (1*3)(3*5)(5*7)(7*9)...((2n-1)(2n+1)) equal a perfect square? List out the first 5 values of n that will result in a perfect square and include a formula in terms of n.
Click here to see answer by venugopalramana(3286)

Question 28685: conjecturea formula for 1*2+2*3+3*4+...+n(n+1).
Click here to see answer by venugopalramana(3286)

Question 28680: Consider the sum 1^3+2^3+3^3+...+n^3 and the sum 1+2+3+...+n. Conjecture a formula that relates these two sums.
Click here to see answer by venugopalramana(3286)

Question 28681: Conjecture a formula for the following sum 1(1!)+2(2!)+3(3!)+...+n(n!).
Click here to see answer by venugopalramana(3286)

Question 28683: conjecture a formula for the following product
the product of the nth number when (1-(4/(2i-1)^2))= (1-(4/(1)^2))(1-(4/(3)^2))(1-(4/(5)^2))...(1-(4/(2n-1)^2)),when i=1.
Click here to see answer by venugopalramana(3286)

Question 28682: conjecture a formula for the following product
the product of the nth number when (1-(4/(2i-1)^2))= (1-(4/(1)^2))(1-(4/(3)^2))(1-(4/(5)^2))...(1-(4/(2n-1)^2)).
Click here to see answer by venugopalramana(3286)

Question 28725: The hypotense of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the lenghts of the legs of the triangle.
Click here to see answer by Paul(988)

Question 28977: The length of a rectangle is 9 meters more than twice the width. If the area of the rectangle is 95 square meters, find the length.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28995: If i have a retangle with 20 in diagonal with 30 degree on on sid what is the lenght and width of that retangle?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29268: The pilot of a small plane finds that when the airspeed is 160 km/h and the heading is 295 degrees, the ground speed is 152 km/h and the course is 302 degrees. Find the speed and direction of the wind.
Click here to see answer by Paul(988)

Question 29319: a class of 25 students is arranged in 5 rows and 5 columns. If a student can move to a dest directly in front, behind, or to the left or right of their own desk, is it possiblefor all the students to change desks at once and occupy a new desk?
Click here to see answer by bmauger(101)

Question 29318: Suppose a country has only two denominations of conins: 5 cent conins and 7 cent coins. Determine all monetary values that can be obtained using only coins.
Click here to see answer by bmauger(101)

Question 29130: 8 ft in diameter x 13 ft in depth, how many gallons will it hold?
Click here to see answer by elima(1433)

Question 29415: show that 3 is a factor of n^3+2n for all positive integers n.
Click here to see answer by venugopalramana(3286)

Question 29414: show that if n is an integer greater than 3, n2^n.
Click here to see answer by venugopalramana(3286)

Question 29552: Hi, I have a word problem that i cant figure out...You are standing 16 feet from the base of a flag pole. Both your shadow and the poles shadow extend to the same point 4 feet away from you. You are 5 feet tall. Find the height of the flag pole.

I would appreciate any help you can give me...thank you Nick
Click here to see answer by longjonsilver(2297)

Question 29693: the question is:
i have an isoceles triangle, the perimeter is 200, side ac is twice side ab. find the length of each side.
this is what i have i just dont know if i am going the right direction.
p=a+b+c
p=200
c=2a
b=a
200=a+a+2a
200=4a
50=a
50=b
100=c
is this correct?
Click here to see answer by josmiceli(19441)

Question 29786: Geoff has $5000 to invest. He wants to earn $568 in interest in one year. He will invest part of the money at 12% and the other part at 10%. How will he invest to earn $568?
Click here to see answer by ikdeep(226)

Question 29639: I have a hard time with word problems and would appreciate some help.
A homeowner wants to enclose a rectangular garden using 32 ft. of fence. The side of the house will be used as one side of the rectangular garden.
A: What is the maximum area that the homeowner can enclose with 32 feet of fence?
B: What should the dimensions of the garden be in order to yield this area?
Draw a picture.
area of a rectangle is area= length x width.
Click here to see answer by Yoan(9)

Question 29803: A 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 224m^2, find the lenght of the other base.
Click here to see answer by venugopalramana(3286)

Question 29804: D=C-s/n(for s) Depreciation
Click here to see answer by stanbon(75887)

Question 28927: How do you figure out the surface area of a pyramid? If the base of the pyramid is 9 on one side and 5 on the other, how would I do that? Would I do the the area of the base times the height(24) divided by two??? I am confused!
Click here to see answer by ikdeep(226)

Question 28724: The width of a rectangle is 3 inches less than it's length. The area of the rectangle is 340 square inches. What are the lenght and width of the rectangle?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29982: I really need help with this problem. I know it will be a system of equtions but I don't know what those equations would be! Here it is:
A right triangle has a perimeter of 40 units and one leg has a length of 8 units. What are the lengths of the other legs?
Click here to see answer by Fermat(136)

Question 30394: Divyia has several books in her library 1/4 of her books are poetry books, of those remaining 1/2 are fiction, of the rest 2/3 are reference books the last 5 are math books. How many books those Diviya have in her library?
Click here to see answer by checkley71(8403)

Question 30440: An isosceles triangle has a perimeter of 8 cm. Find a function that models its area A in terms of the length of its base b.
Click here to see answer by longjonsilver(2297)

Question 30466: Show that (1/((1)^(1/2))) + (1/((2)^(1/2)))+(1/((3)^(1/2)))+....+(1/((n)^(1/2)))<2(n)^(1/2) for all positive integers.
Click here to see answer by khwang(438)

Question 30526: In a rectangle, the perimeter is 82 inches. The length of the rectangle is 8 inches more than twice the width. What is the length and width of the rectangle?
Click here to see answer by checkley71(8403)

Question 30624: The parks departement plans to fence in a 2304 sq meter rectangular area park. What should be the dimensions in order to use the least amount of fencing.
Click here to see answer by Cintchr(481)

Question 30623: For a right triangle, if the length of the hypotenuse is 6 and one side is x. How large could x be to maximize the area.
Click here to see answer by venugopalramana(3286)

Question 28582: A rectancle JKLM is inscribed in an another rectangle ABCD such that the vertices J,K,L and M touches the side AB,BC, CD and DA respectively.where AB = 12cm and BC = 7cm. Also AJ = BK= CL= DM= x.The area of rectangle JKLM is 54cm2. Find x?
Click here to see answer by venugopalramana(3286)

Question 30714: Hello! I need to prove that a quadrilateral ABCD is a trapezoid. We are given that the two upper angles are congruent and the two lower angles are congruent. Our hint is that we need to use the theorem that the sum of the vertex angles of a quadrilateral is 360 degrees. Help!!!
~Katie
Click here to see answer by venugopalramana(3286)

Question 30808: In a triangle, the measure of he middle angle is 17 degrees more than twice the measure of the smallest angle. The largest angle is 55 degrees more than the measure of the smallest angle. What are the measures of the three angles?
Click here to see answer by Paul(988)

Question 30863: For a right triangle, if the length of the hypotenuse is 8 and one side is x. How large could x be to maximize the area.
Click here to see answer by Nate(3500)

Question 30866: For a right triangle, if the length of the hypotenuse is 6 and one side is x. How large could x be to maximize the area.
Click here to see answer by Nate(3500)

Question 31040: I really need your help with this problem "The length of a rectangle is 2 cm less than twice the width. The area of the rectangle is 180 cm^2. Find the length and width of the triangle"
-thank you!
Click here to see answer by mbarugel(146)

Question 31153: a rectangle has a perimeter of 78 meters. the lenth is 11 meters longer than triple the with. find the dimensions of the rectangle.
Click here to see answer by Paul(988)

Question 31210: The perimeter of a square is 32 inches. Find the length of the diagonal?
Click here to see answer by Earlsdon(6294)

Question 31225: In a triangle, the second angle is twice the first and the third angle is 20% less than the first. Find the measure of all three angles.
Thank You
Click here to see answer by Paul(988)

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