Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 80300: The circumference of a circle is 20Pi. What is the area of the circle? Leave your answer in terms of Pi
Click here to see answer by stanbon(75887)

Question 80300: The circumference of a circle is 20Pi. What is the area of the circle? Leave your answer in terms of Pi
Click here to see answer by checkley75(3666)

Question 80304: The area of a circle is 64Pi. The area of a square is 256. Which is larger? the diameter of the circle or the side of the square?
Click here to see answer by checkley75(3666)

Question 80407: 1. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimension of the rectangle?
2. The equation h=-16+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a a height of 120 ft.
3. A ball is throw upward from th roof of a building 100 m tall with an inital velocity of 20 m/s. When will the ball reach a height of 80 m?
4. The demand equation for a certain type of printer is given by
D=-200p=35,000
The supply equation is predicted to be
S=-p^2+400p-20,000
Find the equilbrium price.
Click here to see answer by stanbon(75887)

Question 80461: 87+92+K(all divided by 3)=91 Thanks
Click here to see answer by checkley75(3666)

Question 80793: f(x)= x2 - 7x + 10; find (a) f (0), (b) f (5), and (c) f (-2)
Click here to see answer by bucky(2189)

Question 80865: Hi, I'd greatly appreciate help with this word problem: The length of a rectangle is 4 cm more than 2 times its width. If the area of the rectangle is 90 cm^2, find the dimensions of the rectangle to the nearest thousandth.
Click here to see answer by praseenakos@yahoo.com(507)

Question 81026: A bacterial culture grows according to the formula P=Poa^t. If it takes 5 days for the culture to triple in size, how long did it take to double?
Click here to see answer by scott8148(6628)

Question 81113: A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
Click here to see answer by checkley75(3666)

Question 81288: A rectangular solid has a base with length 8 cm and width 3 cm. If the volume of the solid is 216 cm^3, find the height of the solid.
Click here to see answer by stanbon(75887)

Question 81286: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
Click here to see answer by checkley75(3666)

Question 81512: A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
to produce, and the AM/FM radios take 20 h. The number of production hours is
limited to 300 h per week. The plant�s capacity is limited to a total of 18 radios per
week, and existing orders require that at least 4 AM radios and at least 3 AM/FM
radios be produced per week. Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x
is the number of AM radios and y the number of AM/FM radios.
Click here to see answer by mathdoc316(9)

Question 81495: Solve each of the following systems by substitution.
5x - 2y = -5
y - 5x = 3
Click here to see answer by praseenakos@yahoo.com(507)

Question 81502: 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?
Click here to see answer by doctor_who(15)

Question 81484: solve each of the following systems by graphing. 2x - y = 4 and 2x - y = 6 (This is all one problem and on one graph).

Click here to see answer by ankor@dixie-net.com(22740)

Question 81496: Solve each of the following systems by substitution.
8x - 4y = 16
y = 2x - 4
Click here to see answer by bucky(2189)

Question 81485: find values for m and b in the following system so that the solution to the system is (-3,4).
5x + 7y = b
mx + y = 22
Click here to see answer by ankor@dixie-net.com(22740)

Question 81925: solve the system by graphing.
x - 2y = 8 and x + y = -1
Click here to see answer by checkley75(3666)

Question 81923: solve the system by addition. x+y=3 and x-y=1
Click here to see answer by checkley75(3666)

Question 82346: The length of a rectangle is 1 cm more than 4 times its width. If the area of the rectangle is 72 cm^2, find the dimensions of the rectangle to the nearest thousandth.

Thanks.
Click here to see answer by ptaylor(2198)

Question 82490: a boat that is pulling a water skier drives in a circle that has a radius of 80 feet. The skier is moving outside the path of the boat in a circle that has a radius of 110 feet. Find the distance traveled by the boat when it has completed a full circle. How much further has the skier traveled?
Click here to see answer by stanbon(75887)

Question 82555: The length of a rectangle is 4 in. more than twice its width. If the perimeter of the rectangle is 56 in., find the width of the rectangle.
Answer: The width is ______

Click here to see answer by ptaylor(2198)

Question 82521: The length of a rectangle is 4 in. more than twice its width. If the perimeter of the rectangle is 56 in., find the width of the rectangle.
Answer: The width is ______

Click here to see answer by ptaylor(2198)

Question 82817: This question is a mix between geometery and algebra. I have gotten past putting the values into a right angled triangle and then substituting it into the Pythagorean Theorem, but I don't know what to do next.

"A sail is in the shape of a right-angled triangle. The longest side of the sail is √3 times longer than the shortest side. The third side is 3m longer than the shortest side. Find the length of each sail."

Any help really appreciated.
Daniel
Click here to see answer by rapaljer(4671)

Question 83039: A rectangular garden is to be surrounded by a walkway of constant width. The gardens dimensions are 30ft. by 40 ft. The total area,m garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by ankor@dixie-net.com(22740)

Question 81486: solve each system by graphing.
x - 2y = 8
3x - 2y = 12
Click here to see answer by ryanman(19)

Question 83149: A farmer has determined that a crop of strwberries yields a yearly profit of $1.50 per square yard. If strawberries are planted on a triangul;ar piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit to the nearest hundred dollars, would the farmer expect to make from this piece of land during the next harvest.
Click here to see answer by checkley75(3666)

Question 83145: Two equal force act on a body at an angle of 80(degrees). If the resultant force is 100 newtons, find the value of one of the two equal forces to the nearest hundreth of a newton.
Click here to see answer by Mona27(45)

Question 83146: Two tow trucks try to pull a car out of a ditch.One tow truck applies a force of 1,500 pounds while the other truck applies a force of 2,000 pounds. The resultant force is 3,000 pounds. Find the anlge between the two forces, rounded to the nearest degree.

Click here to see answer by Edwin McCravy(20054)

Question 83518: Find the altitude of a triangle whose area is 8in.^2 and whose base is twice the altitude.
Click here to see answer by stanbon(75887)

Question 83517: How long is a rectangular plot whose length is 9 feet greater than its width and whose perimeter is 94 feet?
Click here to see answer by stanbon(75887)

Question 83147: Two forces of 40 pounds and 20 pounds, respectively, act simultaneously on an object. The angle between the two forces is 40(degrees). Find the magnitude of the resultant, to the nearest tenth of a pound. Find the measure of the angle, between the resultant and the larger force.
Click here to see answer by Edwin McCravy(20054)

Question 83589: Help please.
If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square?
Click here to see answer by Earlsdon(6294)

Question 83590: The volume of the box is represented by (x^2+5x+6)(x+5). Find the polynomial that represents the area of the bottom of the box.
I don't understand word problems, so if someone could please explain step by step that would be great. Thanx
Click here to see answer by jim_thompson5910(35256)

Question 83591: I do not know how to add a triangle for this problem, but I will try to explain it.
Refer to the triangle. Find an expression that represents its perimeter.
One side is 3/4x, the other side is 5/x^2, and the end is 1/x^2.
Click here to see answer by ankor@dixie-net.com(22740)

Question 83797: The perimeter of an isosceles triangle is 37 in. The lengths of the two equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the three sides.
Click here to see answer by ptaylor(2198)

Question 84175: Business and finance. The cost for a long-distance telephone call is $0.36 for the
first minute and $0.21 for each additional minute or portion thereof. Write an
inequality representing the number of minutes a person could talk without
exceeding $3.
Click here to see answer by checkley75(3666)

Question 84705: The feild next to jj smith high school is in the shape of a parallelogram. Two consecutive sides of the field measure 340 feet and 450 feet.
a) if the largest angle of the parallelogram measures 112.3(degrees), to the nearst tenth of a foot, what is the longest distance from one coner of the field to the opposite corner.
b)the school wants to replace the field with blacktop. If the blacktop company charges $4.29 per square foot, how much would it cost to install the blacktop?
Click here to see answer by Edwin McCravy(20054)

Question 84840: The area of a rectangle is 18 square meters. When the length is increased by 2 meters and the width by 3 meters the area becames 48 square meters. Find the dimensions of the smaller triangle.
Just by looking at this problem I can tell the answer is 6 meters and 3 meters. But I can not figure out how to set up the forula.
I tried (m+2)(m+3)=48
I then used FOIL then used the quadratic formula but it didn't work.
Can anybody help
Thanks.
Click here to see answer by josmiceli(19441)

Question 85248: Hello,
I need help with this word problem:
The length of a rectangle is 5 less than twice the width. The perimeter of the rectangle is 80. I need help finding the dimensions of the rectangle.
Thank you
Click here to see answer by praseenakos@yahoo.com(507)

Question 85310: Hey,

this problem is confusing: the volume of gas is 40 ft^3 at a pressure of 15 pounds per square inch. what is the volume of the gas if the pressure is increased to 36 p.s.i.? Assume that volume varies inversely as pressure.
thanks
Click here to see answer by stanbon(75887)

Question 85375: Sir,
Pl. help me to solve this problem
Length of a rectangular field is 23 mtrs more than its Width. If its Area is 420 sq. mtrs, find its length and width.
I tried like this
Let Width be = x mtrs
Then Length is = x+23 mtrs
(x)+ (x+23) = 420 mtrs
x2 + 23x = 420 mtrs
I could not find the value of x. Pl. help me.
Regards
Click here to see answer by praseenakos@yahoo.com(507)

Question 85370: 56) Geometry. A triangle has sides 3x + 7, 4x � 9, and 5x + 6. Find the expression that represents its perimeter.
Click here to see answer by praseenakos@yahoo.com(507)

Question 85368: 56) Geometry. A triangle has sides 3x + 7, 4x � 9, and 5x + 6. Find the expression that represents its perimeter.
Click here to see answer by checkley75(3666)

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