Questions on Word Problems: Geometry answered by real tutors!

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Question 438202: Decide whether the points are the vertices of a right triangle. (2,0), (-1,-1), (1,3)
Click here to see answer by robertb(5830)

Question 438195: Find the dimensions of a retangle if its area is xy-4x+2y-8
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Question 438084: the area of a small rug is 72 square inches. how many square feet is this?
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Question 438429: Iam trying to find the lenght and width of a rectangle. All i know is L=3w-8 and that Area = 35. Please help me sovle this.
Click here to see answer by Gogonati(855)

Question 438542: Gloria had a rectangular garden plot last year with an area of 60 square feet. This year Gloria's garden plot is one foot wider and three feet shorter than last year's garden, but has the same area. What are the dimensions of the garden last year? Is the problem (W+1)(L-3)=60 and if so, how do I calculate this?
Click here to see answer by ankor@dixie-net.com(22740)

Question 438703: PA is tangent from P to circle O. PO = 10 and AO = 6. Find PA.
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Question 438709: Two concentric circles have diameters of 672 and 840. Find the length of a chord of the larger circle which is tangent to the smaller circle.
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Question 438987: An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standng near the building casts an 8 foot shadow. What is the approximate height of the building?
Click here to see answer by stanbon(75887)

Question 439180: I have been up for the whole night working on other math h.w. Now im on this one and my brain is completely dead and i can jus not figure it out. I know that to find the perimeter of a square is 4s. Then to find the area is s^4. After that my brains jus goes dead
The perimeter of square one is 36 cm. greater than the perimeter of square two. The area of squar eone is 243 square cm more than the area of square two. Find the are of the larger square.
Click here to see answer by Gogonati(855)

Question 439240: If the height of a right circular cylin- der is halved and the diameter is tripled, how is the vol- ume changed?

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Question 439357: A box is packed with six soda cans. What percentage of the volume of the interior of the box is not occupied by the cans?
Click here to see answer by Alan3354(69443)

Question 439363: one side of the rectangular area is 20 feet long. i want to fence in a area of 500 sq. ft. how much feet of fencing is needed?
Click here to see answer by nerdybill(7384)

Question 439601: The sum of the measures of the angles of any triangle is 180 degrees.In triangle ABC,angles A and B have the same measure ,while the measure of angle C is 90 times larger than each of A and B.What are the measures of angle A,B,C.
Click here to see answer by rwm(914)

Question 439646: The slide is 24 ft long. The ladder leading to the slide is 20 ft long. How far is it from the end of the slide to the foot of the ladder.
Click here to see answer by shantalboodram(15)

Question 439647: A rectangular garden is 3 times as long as it is wide. If the area of the garden is 1200 ft ^2, find the length and width of the garden
Click here to see answer by robertb(5830)

Question 439653: The rope is 30 yards long and touches the ground 26 yards from the pole. How tall is the pole?
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Question 439597: A business woman wants to determine the difference between the costs of owning and leasing an automobile. She can lease a car for $420 a month (on an annual basis). Under this plan, the cost per mile (gas and oil) is $0.06. If she were to purchase a car, the fixed annual expense would be $4700, and the other costs would amount to $0.08 per mile. What is the least number of miles she would drive per year to make leasing no more expense than purchasing
Click here to see answer by jorel1380(3719)

Question 439660: If an object is thrown upward with an initial velocity of 48 ft/secs its height after t sec is given by h equals 48t - 16t^2. Find the number of seconds before the object hits the ground.
Click here to see answer by robertb(5830)

Question 439685: if the perimeter of a rectangle is 112 meter, and the length is one meter shorter than twice the width, then what is the length and the width

Click here to see answer by asuar010(338)

Question 439697: If i have an irregular pentagon with one side of 180mm and 4 sides of 150mm what will the interior angles be??
Click here to see answer by richard1234(7193)

Question 439695: the base of a triangle is 5cm greater than the height. The area is 52^2. Find the height and the lenth of the base.

Click here to see answer by asuar010(338)

Question 439826: The rope is 30 yards long and touches the ground 26 yards from the pole. How tall is the pole? Round to the nearest tenth.
Click here to see answer by jorel1380(3719)

Question 439988: Finding the Grade of a Mountain Trail. A straight trail with a uniform inclination leads from a hotel, elevation 5000 feet, to a lake in a valley, elevation 400 feet. The length of the trail is 4100 feet. What is the inclination (grade) of the trail?
Click here to see answer by stanbon(75887)

Question 439929: If the base of a rectangle 2 1/3 cm and the perimeter is 11 7/15 cm, what is the height of the rectangle?
Click here to see answer by jorel1380(3719)

Question 440029: The volume of a box with square base and a height of 12 inches is 768 in3. Find the length of one side of the base.
Click here to see answer by ankor@dixie-net.com(22740)

Question 440260: The length of a rectangle is 3 feet shorter than twice its width. If the area of the rectangle is 170 ft^2, what is the length if the rectangle?
Click here to see answer by jorel1380(3719)

Question 440367: what is the height of a triangle with a base length of 4 and an area of 1620?
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Question 440367: what is the height of a triangle with a base length of 4 and an area of 1620?
Click here to see answer by nerdybill(7384)

Question 440496: One card is selected at random from a deck of cards. Determine the probability that the card is a 3 or 7.
Click here to see answer by edjones(8007)

Question 440708: Please help me solve this problem:
The length of a rectangle is 20ft. and the diagonal is 35ft. What is the perimeter of the rectangle
Click here to see answer by Euler(11)

Question 440778: The length of a rectangle is 10 feet more than twice the width. The perimeter of the rectangle is 74 feet. What is the length?
Click here to see answer by jorel1380(3719)

Question 441387: A guy wire is attached to the top of a 75 foot tower and meets the ground at a 65 degree angle. How long is the wire?
Click here to see answer by ewatrrr(24785)

Question 441398: Find the length of a rectangular lot with a perimeter of 94 m if the length is 5 m more than the width.
Click here to see answer by stanbon(75887)

Question 441364: measuring the length of a ladder for 55ft
Click here to see answer by Alan3354(69443)

Question 441176: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
a.) Find a function that models the total area of the four pens.
b.) Find the largest possible total area of four pens.
Click here to see answer by ankor@dixie-net.com(22740)

Question 441698: The problem is as follows:
A portion of a wire 70 inches in length is bent to form a rectangle having the greatest possible area such that the length of the rectangle exceeds three times its width by 2 inches and the dimensions of the rectangle are whole numbers. Find the length of the wire that is NOT used to form the rectangle.
I noted the following:
* I understand that the perimeter of a rectangle is 2L + 2W = P
* I understand that the length of the triangle is L = 3W + 2
* Using U to represent the unused wire, I need to solve for U in either 2L + 2W + U = 70 or 2L + 2W = 70 - U.
* I start off inputting the linear equation for L by writing down 2(3W + 2) + 2W + U = 70. I get 6W + 4 + 2W + U = 70, which simplifies to 8W + U = 70.
* From there, I've tried inputting the linear equation value of W, which is W = L/3 - 2/3, but I hit a dead end.
* I've also attempted various inputs of various equations and all I get are the frustrating solutions that give you the same integer on both sides of the equal sign instead of the actual solution for the variable.
If someone can assist, I'd appreciate a thorough explanation of why I encounter problems where I input the substitution and the solution I get is the same integer on both sides of the equal sign instead of the actual solution for the variable. This would be greatly appreciated.
Click here to see answer by stanbon(75887)

Question 441809: find the area of square measuring 46.1 m on a side
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Question 441794: The perimeter of a rectangle is 78cm. If the length is six more than twice the width, find the dimensions of the rectangle.
Click here to see answer by AHBK(13)

Question 441989: A man stands at the top of a 105 foot light house and sees a boat. The angle of depression to sight the boat is 37degrees, find the distance between the base of the light house and the boat.
Click here to see answer by nerdybill(7384)

Question 441968: the length of a rectangle is fixed at 24cm. what width will make the perimeter greater than 82 cm?
Click here to see answer by jorel1380(3719)

Question 442234: A swimming pool is 8 feet longer than it is wide. The total distance around the pool is 36 feet. What are the dimensions of the pool?

Click here to see answer by jorel1380(3719)

Question 442623: the area of a rectangular playground in a child care center is 250 square feet. The width of the playground is 20 feet less than twice the length. Fencing must be purchased by the whole foot and costs $6.95 per foot. Find the cost of fencing purchased to surround the playground.
Click here to see answer by mananth(16946)

Question 442956: Find the area of Triangle ABC, if AB=6cm, AC=12cm, and the measure of angle A is 20 degrees. Express your answer to the nearest tenth of a square centimeter.
Click here to see answer by swincher4391(1107)

Question 443002: if i made the flower bed 2 feet wider and 3 feet longer then it would have been 64 square feet larger. if i made it 3 feet wider and 2 feet longer it would have been 68 square feet larger. find the length and width of the flower bed.
Click here to see answer by stanbon(75887)

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