Questions on Word Problems: Geometry answered by real tutors!

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Question 39039: the perimeter of an isoscles triangle is 48 inches. The length of the base of the triangle is 4 inches greater than the length of either leg. what is the length of the base of the triangle?
Click here to see answer by checkley71(8403)

Question 39045: suppose the perimeter of the rectangle and the perimeter of the triangle are equal.
the rectangle has 4 on the left side and x+3 on the bottom and the triangle is 2x on all three sides.
a. write and equation in terms of x to represent this situation
b. solve the equation for x
c. Find the length of the rectangle
d.Find the length of each side of the triangle
thank you
Click here to see answer by checkley71(8403)

Question 38904: the 13th and 18th terms of AP are 25 and 45 respctively.
(a) calculate the common difference.
(b) calculate its first term
Click here to see answer by fractalier(6550)

Question 38681: I am trying to determine the slope of a backyard to set an above ground swimming pool. The manufacturer states a slope of greater than 3 degrees is not suitable. Great but how can I determine the level of slope present?
Click here to see answer by fractalier(6550)

Question 39576: A rectangle has sides of 3x-4 and 7s+10. Find the expression that represents its perimeter.
Click here to see answer by Nate(3500)

Question 39619: The package of a model car states that the ratio of the length of a real car is 1:25. What is the ratio of the amount of paint required to cover the model to the amount required to cover the real car?
Click here to see answer by fractalier(6550)

Question 39699: A corporate jet has a speed of 600 miles per hour in still air. The jet travels directly north and encouters a 70 mile per hour wind blowing due east. Find the resulting speed of the plane. Round your answer to the nearest mile per hour.
Click here to see answer by Paul(988)

Question 39700: What is the magnitude and direction of the vector {-5,12}? The direction is measured from the positive x-axis.
Click here to see answer by stanbon(75887)

Question 39760: The strength of a steel bar is proporitional to its cross-sectional area. A steel bar is 3/4 in. wide and 1/2 in. thick. How many times stronger tyhan this bar is a steel bar thet is 1.5 in. wide and 1.5 in. thick?
Click here to see answer by checkley71(8403)

Question 40070: Floor plans for a building have the four corners of a room located at the points (2,3), (11,6), (-3,18) and (8,21). determine whether the side through the point (2,3) and (11,6) is perpendicular to the side throught the points (2,3) and (-3,18).
Click here to see answer by stanbon(75887)

Question 39881: You are standing 8 feet from a circular swimming pool. The distance to a
point of tangency is 16 feet. What is the radius of the pool?
Click here to see answer by fractalier(6550)

Question 39880: You are standing 8 feet from a circular swimming pool. The distance to a
point of tangency is 16 feet. What is the radius of the pool?
Click here to see answer by fractalier(6550)

Question 40285: The length of a picture is 1 inch less than twice its width. The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture?
Click here to see answer by stanbon(75887)

Question 40234: A pie-shaped (triangular) lake-front lot has a perimeter of 1000 ft. One side is 100 ft longer than the shortest side, while the third side is 300 ft longer than the shortest side. Find the lengths of all three sides.
Click here to see answer by wuwei96815(245)

Question 40528: if a 12' flagpole casts an 18' shadow at the same time that a nearby building casts a 72' shadow, how tall is the building?
Click here to see answer by checkley71(8403)

Question 40655: a survey of 400 people found that 66 were left handed.what percent of those surveyed were left handed?
Click here to see answer by tutorcecilia(2152)

Question 40651:
a chemist has 300 millititers of solution that is 18% acid.how many milliliters of acid are in the solution?
Click here to see answer by stanbon(75887)

Question 40712: 2.5 44) Geometry.

The lenght of a recetangular playing field is 5 feet less than twice its width. If the perimeter of the playing dield is 230 ft, find the lenght and width of the field.
Click here to see answer by checkley71(8403)

Question 40749: A cow is tethered to a ring on the outside of a barn, 4 meters from one of the corners. The barn is 16 meters wide by 34 meters long. The rope is 50 meters in length. Find the cow's grazing area.
Click here to see answer by Paul(988)

Question 40643: 54. A bicyclist rode into the county for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way.
Click here to see answer by rajagopalan(174)

Question 41079: *******A picture frame is 20 cm by 12 cm. There are 84cm^2 of a picture showing. Find the width of the frame.**** please help, i reall need this problem, it my grade
Click here to see answer by Paul(988)

Question 41213: how many diagonals are in a 21-gon?
Click here to see answer by Nate(3500)

Question 41248: Solve the problem.
In a right triangle, one acute angle is 54degree more than twice the other. Find each acute angle.

Click here to see answer by Nate(3500)

Question 41398: The volume of a box is 2p^4 + 17p^3 + 21p^2. The height is p, and the width is p + 7. What is the length?
Click here to see answer by rajagopalan(174)

Question 41397: The volume of a box is 3p^4 + 16p^3 + 21p^2. The height is p, and the width is p + 3. What is the length?
Click here to see answer by venugopalramana(3286)

Question 41531: A construction company i mass-producing picnic pavilions for national parks. The rafter ends are to be sawed in such a way that they will be vertical when in place. The front is 8 feet high and the back is 6.5 feet high, and the distance between the front and back is 8 feet. At what angle should the rafters be cut?
Click here to see answer by psbhowmick(878)

Question 42092: I am making a round fairy princess skirt for my granddaughter. I have a solid circle cut out (ie, no seams). I need to put a hole in the center for her waist to fit into. The measurement of her waist is 20". I can't remember how to find the radius of a circle so I can fold the fabric and cut out a hole that would have the circumference of 20".
Thank you in advance for your help. If you show me the equation I would really appreciate it. I used to love math but haven't used it like this for 40 years.
Best regards,
Tina
Click here to see answer by psbhowmick(878)

Question 42110: Floor plans for a building have the four corners of a room located at the 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).
Click here to see answer by psbhowmick(878)

Question 42157: The perimeter of a rectangular brick wall is 68 feet and its area is 280 square feet. What is the length of the longer side of the wall?
Click here to see answer by fractalier(6550)

Question 42190: Hi..I have a word problem that I don't know what to do to solve!
A man has a barn that is 20 feet by 10 feet. He ties a cow to one corner of the outside of the barn using a 50 foot rope. What is the total area that the cow is capable of grazing?
I am trying to help my neigbor solve this! Any help you can give me would be much appreciated!
Thankyou!
Joanna
Click here to see answer by psbhowmick(878)

Question 42282: The distance from Philadelphia to Sea Isle City is 100 miles. The tires on the car have a radius of 14inches. How many revolutions of each tire occured on the trip?
Click here to see answer by psbhowmick(878)

Question 42288: If the perimeter of a rectangular swimming pool is 118 feet, find the length and width when the length is 1/3 of the width plus 7. (Use P=2L+2W) I can not seem to figure out the correct equation.
Click here to see answer by PaulAllen65270(19)

Question 42686: 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 m^2, find the length of the other base.
Click here to see answer by Nate(3500)

Question 42824: Hi! I'm trying to figure out a problem with a hexagon. I need to find the side of a regular hexagon if the it is 18 inches apart from midpoint to midpoint. Any help would be greatly appreciated!
Thankyou!
Click here to see answer by fractalier(6550)

Question 42940:
Write the equation of the line L satifying the given geometric conditions.
Click here to see answer by fractalier(6550)

Question 43024: The length of a rectangular sign is 3 feet longer than the width. If the sign has an area of 40 square feet for advertising, find its length and width.
Can someone show me how to do this?
Click here to see answer by checkley71(8403)

Question 43405: A square has sides of length 3x-2cm. express the area of the square as a polynomial.
Click here to see answer by fractalier(6550)

Question 43545:

help.......Everybody got this wrong in our practice, including myself.. please help thank you soo much
Click here to see answer by Nate(3500)

Question 44129: If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2(1296cm). What were the dimensions of the original square?
Click here to see answer by adamchapman(301)

Question 44153: Geometry. The length of a rectangle is 2 inches more than twice its width. If the perimeter of the rectangle is 34 inches, find the demensions of the rectangle.
Click here to see answer by adamchapman(301)

Question 44349: olve the problem.
In a right triangle, one acute angle is 54degree more than twice the other. Find each acute angle.
Click here to see answer by checkley71(8403)

Question 44493: In the triangle ABC, the measure of angle A is 2 degrees less than 1/5 of the measure of triangle C. The measure of triangle B is 5 degrees less than 1/2 of the measure of angle C. Find the measures of the three angles of the triangle.
Click here to see answer by Paul(988)

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