Questions on Word Problems: Geometry answered by real tutors!

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Question 196019: The length of a rectangle is 6 inches less than three times its width. Find the dimensions of the rectangle if its area is 45 square inches.
Click here to see answer by RAY100(1637)

Question 196273: . Given the figure shown with AX || DY , find the following:
____(a) m(<1)
____(b) m(<2)
____(c) m(<3)
____(d) m(<4)
____(e) m(<5)

Click here to see answer by solver91311(24713)

Question 196649: 1. A small area in front of a building is triangular in shape. The perimeter of the triangle is 49 meters. The second side is one-fourth of the first side in length. The third side is 4 meters more than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by ankor@dixie-net.com(22740)

Question 196683: calculate the volume of a rectangular prism with dimensions 18ft. by 15ft. by 19ft.
Click here to see answer by Mathtut(3670)

Question 196934: a boat moving 12 miles per hour north is being blown off course by a 9-mile per hour wind blowing west at what angle is the boat being moved off course
Click here to see answer by ankor@dixie-net.com(22740)

Question 197040: Hi, I am having trouble figuring out the formula for this problem. How do I set it up to find the answer? Can you help me figure this out? Thank you.
Find the length of the diagonal of a square patio with an area of 40 square meters.
Click here to see answer by nerdybill(7384)

Question 197027: Jim�s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side?

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Question 197062: the volume of a rectangular box is given by v=(length)(width)(height). a 10 in. by 15in. rectangular piece of cardboard with squares with sides of length x cut from each corner is used to make the box. what is the expression for the volume of the box created by folding up the sides.
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Question 197128: The base of a triangle is 2cm shorter than the width of a rectangle. The rectangle's length is 4 times the width and the triangle's height is twice the rectangle's length. Find the area of each figure if the difference of their areas is 30m^2.
Click here to see answer by edjones(8007)

Question 197175: A rectangle has sides of lengths x and 2x. Express the area A of the rectangle as a function of its perimeter P.
Click here to see answer by vleith(2983)

Question 197328: concrete can be purchased by the cubic yard. how much will it cost to pour a circular slab 18 ft in diameter by 3 in. for a patio if the concrete costs $40.00 per cubic yard?
Click here to see answer by ankor@dixie-net.com(22740)

Question 197442: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
The answer is 1.09 days, however I need to figure out the mathmatical breakdown that gives me this answer as my equations give me 1.23 days.
4/6=0.7
6/2=3
3.7/3=1.23
Any help would be greatly appreciated!!
Thank you,
Erica
Click here to see answer by Alan3354(69443)

Question 197653: a rectangular lawn is 80 ft by 60ft. part of the lawn is torn up to install a sidewalk of equal width around the lawn. The new area of the lawn is 800 ft^2. how wide is the sidewalk?
Hi - I can't figure this out. I know the area of the first rectangle is 4800 ft^2. Once I reduce the lawn I think the length is 40 ft and the length is 20 ft. That leaves 4000 ft of area. I don't konw how to find the width of the sidewalk. Thanks for your help.
This is not from a textbook but a worksheet my teacher gave us.
Click here to see answer by stanbon(75887)

Question 197772: A tree casts a shadow of 24 meters when the angle of elevation of the sun is 28 degees. Find the height of the tree to the nearest meter.
The answer is 13 but I'm not sure how to solve it..
Click here to see answer by ankor@dixie-net.com(22740)

Question 198156: A rectangular patio is 7 ft longer than it is wide. Determine the dimensions of the patio if it measures 13 ft diagonally.
Click here to see answer by arallie(162)

Question 198202: during one stage of the drawbridges motion the reaised ead is 15 yards above ground. what is the incline of the drawbridge to the nearest hundreth?
Click here to see answer by Alan3354(69443)

Question 198287: A quadrilateral's four angles measure x + 5, x + 10, x - 10, and 2x - 5. Find the measure of the largest angle.
Click here to see answer by jim_thompson5910(35256)

Question 198204: two simmers are observed by a lifegaurd in a 30 feet tower above the water the angles of depression are 12.7 and 14.5 how far apart of the swimmers?
Click here to see answer by arallie(162)

Question 198329: A life insurance table indicates that a woman who is now A years old can expect to live E years longer. Suppose that A and E are linearly related and that E=50 when A=24 and E=20 when A=60.
a. At what age may a woman except to live 30 years longer?
b. What is the life expectancy of a newborn female child?
c. At what age is the life expectancy zero?
Please help to solve the above problem. Help is appreaciated.
Thanks
Click here to see answer by stanbon(75887)

Question 198388: A landscape architect used the entire length of an 80ft rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle.
Perimeter of square = 80 feet Circumference of circle = 80 feet
How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)

This looks to be from a textbook, but no reference are made on the paper.
Thank you!
Click here to see answer by ankor@dixie-net.com(22740)

Question 198438: 10ft.wide octagon shape, need to know what lenght and the angle cut to make. thank you
Click here to see answer by arallie(162)

Question 198521: The altitude of a triangle is 3/4 the length of its base. If the altitude were increased by 3 feet and the base decreased by 3 feet, the area would be unchanged. Find the length of the base and altitude.
Click here to see answer by nerdybill(7384)

Question 198520: A rectangular flower bed 30 yards long by 20 yards wide has a walk of uniform width around it. If the area of the path is 1/4 that of the flower bed, find the width of the path.
Click here to see answer by nerdybill(7384)

Question 198566: A rectangular flower bed 30 yards long by 24 yards wide has a walk of uniform width around it. If the area of the path is 1/4 that of the flower bed, find the width of the path.
Click here to see answer by solver91311(24713)

Question 198671: 2. A square support unit in a television is made with a side measuring 4 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 4.3 centimeters. By how much will the area of the square be increased?
Click here to see answer by Alan3354(69443)

Question 199037: Find the length x in the figure, if the shaded aera is 144cm^2.
Click here to see answer by Alan3354(69443)

Question 199130: the perimeter of certain rectangule is16 timesthe width. the lengthis 12cm. more than the width. find the widthodf the rectangule
Click here to see answer by nerdybill(7384)

Question 199167: If the sides of a square are lengthened by 8cm, the area becomes 144cm^2. Find the length of a side of the original square.
Click here to see answer by rfer(16322)

Question 199233: Two angles are complementary. The sum of the measure of the first angle and the one-fourth the second angel is 75�. Find the measures of the angles.
I know that two angles have to equal 90�. So do I take 1/4 of 75� = 18.75. 90-18.75 = 71.25. Would the angles be 75�, 18.75� & 71.25�?
Click here to see answer by Earlsdon(6294)

Question 199239: A national forest service wanted to estimate the number of deer in a particular national park. They caught and tagged 71 deer and released them back into the park Later they selected a sample of 272 deer. Of the 272 deer, 16 were tagged. Assuming that the proportion of tagged deeer in the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park?
Click here to see answer by ankor@dixie-net.com(22740)

Question 199280: The president of a company is forming a committee. He must choose 8 people out of his 42 employees to be on this committee. How many combinations are possible?
Click here to see answer by tutorvolunteer(9)

Question 199429: A length of wire is cut into two pieces, one of which is bent to form a circle, the other a square. How should the wire be cut if the area enclosed by the two curves is to be a minimum?
Click here to see answer by josmiceli(19441)

Question 199365: A radio station is going to construct a 12-foot tower for a new antenna. The tower will be supported by three cables. One end of each cable is attached at the top of the tower: the other end of each cable is attached to the ground 16 feet from the base of the tower. What is the total length of the three cables?
Click here to see answer by checkley77(12844)

Question 199522: Ship A is traveling due east at 18 km/h as it passes a point 40 km due south of Ship B, which is traveling due south at 16 km/h. How much later are the ships nearest each other?
Click here to see answer by solver91311(24713)

Question 199520:
When two electric resistors R1 and R2 are in series, their total resistance (the sum) is 32 ohms. If the same resistors are in parallel, their total resistance (the reciprocal of which equals the sum of the reciprocals of the individual resistances) is the maximum possible for two such resistors. What is the resistance of each?
Click here to see answer by rfer(16322)

Question 199523: Canadian Postal Service regulations require that the sum of three dimensions of a rectangular package not exceed 3 m. What are the dimensions of the largest rectangular box with square ends that can be mailed?
Click here to see answer by solver91311(24713)

Question 199778: If the radius of a very small circle is 2.34 * 10^-8 centimeters, then what is the circles area?
Click here to see answer by Alan3354(69443)

Question 199772: How many different three-digit numbers can be formed from the digits 0 through 9 if the first digit must be odd and the last digit must be even?
Click here to see answer by Alan3354(69443)

Question 199796: Diameter of a Circle
If the diameter of a circle is 1.3 * 10^-12 meters, then what is its radius?
Click here to see answer by solver91311(24713)

Question 199521: A regular storage area is to be constructed along the side of a tall building. A security fence is required along the remaining three sides of the area. What is the maximum area that can be enclosed with 800m of fencing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 199953: What is the equation for a circle with its center at the origin and a tangent whose equation is y=7?
Click here to see answer by Alan3354(69443)

Question 199946: What is the equation for a circle with a diameter having the following endpoints: N(0,1) and Q(18,1)?
Click here to see answer by Alan3354(69443)

Question 199996: If a=35 cm and c=37 cm, find b.

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