Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

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(2048)

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(57219)

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(2048)

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(2048)

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(4667)

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(15624)

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(8880)

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(57219)

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(57219)

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(8880)

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(6287)

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(28476)

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(15624)

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(2048)

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(8880)

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(9649)

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(57219)

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)

Question 85187: the resistence of a wire varies directly with its length and inversly with the square of its radius. if a wire with a radius of 1.3mm and a lrngth of 14m has a resistence of 17ohms, what wil be the resistance of a wire with a radius of .08 and a length of 20m
Click here to see answer by stanbon(57219)

Question 85650: Hi everyone! I'm stuck on this one, hope someone can help.
here it goes:
Hilton University Drama Club sole 311 tickets for a play. Student tickets cost 50 cents each; non student tickets cost $1.50 each. If total reciepts were $385.50, find how many tickets of each type were sold.
Thanks!
Click here to see answer by checkley75(3666)

Question 86337: Solve the following word problems. Be sure to show the equation you use for the solution.
Geometry. 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 scianci(186)

Question 86774: Two blocks, each of length x, width x+4, and height x, are cut out of a block of length 3x+4, width x+4, and height x. All dimensions are given in centimeters. Find the volume of the resulting solid.
Since V= L*W*H, wouldn't I take the volume of the original block and then subtract the volume of what was cut out??? Where I seem to be having trouble, is the fact that there were 2 blocks cut out. Would I have to double the lenght, width and height in order to figure out the volume that was cut out and then subtract it from the volume of the original block??? Thank you for your help with this one.
Click here to see answer by Flake(45)

Question 86773: A rectangle of length x and width 5 is cut out of a rectangle of length x+12 and width x. Find the area of the resulting shape if all dimensions are in meters.
Here is what I did:
A= L * W
Original rectangle:
A=(x+12)(x)
x^2 + 12x
Cut out:
A=(x)(5)
5x
Then I subtracted the cut out from the original to get A=(x^2-5x+12)meters squared.
Is this right, or am I totally off track?? Please help me. Thank you.
Click here to see answer by Flake(45)

Question 86803: Here is the question that I am having trouble with:
Two blocks, each of length x, width x+4, and height x, are cut out of
a block of length 3x+4, width x+4, and height x. All dimensions are
given in centimeters. Find the volume of the resulting solid.
Am I suppose to figure out the volume of the original block and then subtract the cut out block? Also since it states that there were two blocks cut out do I have to double everything for the cout out volume? Can you help me set this up? Thank you very much.

Click here to see answer by stanbon(57219)

Question 87085: I am stuck on this problem. Please help. The perimeter of a rectangle is 34 feet and its area is 60 square feet. Find the length and width of the rectangle.
Here is what I did:
I used the P = 2l + 2w formula
34 = 2l + 2w.
At this point I'm stuck because I'm not sure how to incorporate the area (60 sq. ft.) into the problem.
Click here to see answer by tutorcecilia(2152)

Question 87088: Celsius temperature readings can be converted to Fahrenheit readings using the formula F-=9/5C + 32. What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures: -10, 0, 15, 100.
Click here to see answer by Flake(45)

Question 87250: A homeowner is planning to use carpet tiles to cover the floor of a room measuring 10 feet by 10 feet. If the carpet tiles are 8 inches wide and 1 foot long and there are no gaps between the tiles as they are placed on the floor, how many carpet tiles will the homeowner need to cover the floor of the room?

I know that the the area of the room is 100 square feet (a=lxw) but I don't know how to figure out how many tiles. I thought it was 125 but the answer is 150.
Click here to see answer by checkley75(3666)

Question 87351: Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation. Use the Standard Form to find the maximum area.
Click here to see answer by favegirl13(22)

Question 87368: 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 rossiv53(27)

Question 87740: A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft squared, what is the width of the path....

Click here to see answer by malakumar_kos@yahoo.com(315)

Question 87902: The measure of an angle is 20 less than the measure of its supplement. Find the measure of the angle, the measure of its supplement and the measure of its complement.
Click here to see answer by rapaljer(4667)

Question 87900: The measure of an angle is 3/4 the measure of its complement. Find the measure of the angle and its compliment.
Click here to see answer by rapaljer(4667)

Question 87901: Two angles are complementary. One-half the measure of the larger angle exceeds one-fourth the measure of the smaller by 30. Find the measure of the angle, the measure of its supplement and the measure of its complement.
Click here to see answer by stanbon(57219)

Question 87905: The measure of an angle is 2/3 the measure of its supplement. Find the measure of the angle and its supplement.
my equation for this is x + (2x)/3 = 180
and my answer is 108 and 72 ( is it correct?)
Click here to see answer by stanbon(57219)

Question 87923: Could you please help with the following problem: A picture 9 inches wide and 12 inches long is surrounded by a frame of uniform width. The area of the frame only is 162 square inches. Find the width of the frame.
Thank you very much for any help you can provide.
Click here to see answer by stanbon(57219)

Question 87999: The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34in., find the dimensions of the rectangle.
Click here to see answer by uma(370)

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