Questions on Word Problems: Geometry answered by real tutors!

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Question 30624: The parks departement plans to fence in a 2304 sq meter rectangular area park. What should be the dimensions in order to use the least amount of fencing.
Click here to see answer by Cintchr(481)

Question 30623: For a right triangle, if the length of the hypotenuse is 6 and one side is x. How large could x be to maximize the area.
Click here to see answer by venugopalramana(3286)

Question 28582: A rectancle JKLM is inscribed in an another rectangle ABCD such that the vertices J,K,L and M touches the side AB,BC, CD and DA respectively.where AB = 12cm and BC = 7cm. Also AJ = BK= CL= DM= x.The area of rectangle JKLM is 54cm2. Find x?
Click here to see answer by venugopalramana(3286)

Question 30714: Hello! I need to prove that a quadrilateral ABCD is a trapezoid. We are given that the two upper angles are congruent and the two lower angles are congruent. Our hint is that we need to use the theorem that the sum of the vertex angles of a quadrilateral is 360 degrees. Help!!!
~Katie
Click here to see answer by venugopalramana(3286)

Question 30808: In a triangle, the measure of he middle angle is 17 degrees more than twice the measure of the smallest angle. The largest angle is 55 degrees more than the measure of the smallest angle. What are the measures of the three angles?
Click here to see answer by Paul(988)

Question 30863: For a right triangle, if the length of the hypotenuse is 8 and one side is x. How large could x be to maximize the area.
Click here to see answer by Nate(3500)

Question 30866: For a right triangle, if the length of the hypotenuse is 6 and one side is x. How large could x be to maximize the area.
Click here to see answer by Nate(3500)

Question 31040: I really need your help with this problem "The length of a rectangle is 2 cm less than twice the width. The area of the rectangle is 180 cm^2. Find the length and width of the triangle"
-thank you!
Click here to see answer by mbarugel(146)

Question 31153: a rectangle has a perimeter of 78 meters. the lenth is 11 meters longer than triple the with. find the dimensions of the rectangle.
Click here to see answer by Paul(988)

Question 31210: The perimeter of a square is 32 inches. Find the length of the diagonal?
Click here to see answer by Earlsdon(6287)

Question 31225: In a triangle, the second angle is twice the first and the third angle is 20% less than the first. Find the measure of all three angles.
Thank You
Click here to see answer by Paul(988)

Question 31232: In a triangle, the second angle is twice the first and the third angle is 20 drgees less than the first. Find the measure of all three angles.
Thank You!
Click here to see answer by venugopalramana(3286)

Question 31258: A rectangle has an area of 900 square inches. The length of the rectangle is 2.25 times its width. Find the dimensions of the rectangle.
Click here to see answer by troyapplehelen(46)

Question 31263: A jeweler has three small solid spheres made of gold, of radius 2mm, 3mm, and 4mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Thank you so very much!
Click here to see answer by mbarugel(146)

Question 31264: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 5 in wider than it is high. The other has a wider,high-definition screen, which is 2.4 times as wide as it is high. The diagonal measure of the wider screen is 14 in more than the diagonal measure of the smaller. What are the heights of the screens?(Assume that the height is greater than 10 in.)
Thank you so very much!
Click here to see answer by josmiceli(9649)

Question 31380: In a right triangle, one of the acute angles is 2 times as large as the other acute angle. Find the measure of the two acute angles.

Click here to see answer by Paul(988)

Question 31379: In a right triangle, one of the acute angles is 2 times as large as the other acute angle. Find the measure of the two acute angles.
Click here to see answer by josmiceli(9649)

Question 31441: The length of a rectangular garden is 8 ft less than 2 times its width. If the perimeter of the garden is 44 ft, find the dimensions of the garden.

Click here to see answer by Paul(988)

Question 31467: box is 9"lenght 3"width and 10" height
You would like to fill on 1/5 of the box below with clothes. How many "cubic inches" of clothes will fit? Hint: answer is not 9x3x10=270in cubed.

Click here to see answer by checkley71(8403)

Question 31586: Can I please get some help with this question?
Time on a treadmill. After 2 minutes on a treadmill Jenny has a heart rate of 82. After 3 mins she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate h in terms of time on the tread mill t. Find the equation and use it to predict her heart rate after 10 mins on the treadmill.
Click here to see answer by venugopalramana(3286)

Question 31593: Can I please get some help with this question?
Interest Rate. A credit manager rates each applicant for a car loan on a scale of 1 through 5 and then determines the interst rate from the accompanying table. Find the equation of the line in slope intercept form that goes through these points.
Credit Rating 1 2 3 4 5
Interest 24 20 16 12 8
Rate%
Click here to see answer by venugopalramana(3286)

Question 31432: Assume that a and b are different zeros of p(x)= x^3+kx-1. Show that ab is a zero of q(x)=x^3-kx-1 where k is any real number.
Click here to see answer by venugopalramana(3286)

Question 31430: If (r+ (1/r))^2=5, then find the value of r^3 + 1/r^3.
Click here to see answer by venugopalramana(3286)

Question 31433: Suppose there are N marbles in a bowl. Al, Bo, and Coy will take turns (Al will go 1st) removing marbles from the bowl, and the person to remove the last marble in the bowl loses. Each person is allowed to remove 1 or 2 marbles on his turn. For what values of N can Bo and Coy work together and force Al to lose.
Click here to see answer by venugopalramana(3286)

Question 31689: Suppose a and b are rational numbers. If the solutions to ax^2+2bx-a=0 are not rational, then show that the solutions to bx^2+2ax-b=0 are not rational.
Click here to see answer by venugopalramana(3286)

Question 31947: (Urgent Help Needed I will really appriciate it...
Basal Energy requirements. The basal eanergy requirement B is the number of calories that a person needs to maintain the life process. For a 28 yr old female with height of 160 centimeters and weight 45 kilograms, B is 1300 calories. If her weight increases to 50kg then B is 1365 calories. There is a linear equation that express B in terms of weight w . Find the equation and find the basal energy requirements if her weight is 53.2kg
Click here to see answer by stanbon(57219)

Question 29470: If Eratosthehne were alive in the U.S. today, he could repeat his calculation of the circumference of Earth. Wichita, Kansas, is 345 miles due north of Fort Worth, Texas. At a given moment, the sun is 5 degrees lower in the sky in Wichita than Fort Wroth. From this information, what estimate would Eratosthenes obtain for the Earth's circumference?
Click here to see answer by stanbon(57219)

Question 32197: The section that I am on in my class is over contradiction. The equations is: If c is an odd integer, then show that the equation x^2+x-c=0 has no integer solutions.
Click here to see answer by venugopalramana(3286)

Question 32196: The section that I am on in my class is over contradiction. The equation is Show that neither x=1 or x=-1 can be solutions to the equation ax^2+bx+a=0 where a and b are integers with b odd.
Click here to see answer by mbarugel(146)

Question 32466: This section is dealing with contradictions.
Show that the product of a non-zero rational number and an irrational number is an irrational number.
Click here to see answer by ikdeep(226)

Question 32861: The lenghth of a rectanguler room is 5 feet more than 3 times the width.Find the dimensions if the perimeter is 62 feet?
Click here to see answer by sarah_adam(201)

Question 32862: The length of a rectangular room is 5 feet more than 3 times the width.Find the dimensions if the perimeter is 62 feet.
Click here to see answer by stanbon(57219)

Question 32997: if the length of a rectangle is 2 km longer then twice the width, then what is the length if the area is 60 sqare kilometer
Click here to see answer by Paul(988)

Question 33038: Can you please solve this for me? I have to solve this using factoring:
The sum of the squares of two consecutive negative even integers is 340. Find the integers.

Click here to see answer by xcentaur(357)

Question 33040: Can you please solve this for me?: I have to solve this using factoring.
Originally a rectangle was twice as long as it was wide. When 4m were added to its length and 3m subtracted from its width, the resulting rectangle had an area of 600m2(squared). Find the dimensions of the new rectangle.
Click here to see answer by stanbon(57219)

Question 33199: Mark put $2748.00 in his savings account. The bank he uses calculated his interest using a simple interest formula. Mark left the money in the bank for 2 years. At the end of the 2 years, he had $2967.84 in his savings account. What was the interest rate the bank used?
Click here to see answer by sarah_adam(201)

Question 33203: Tiara is driving from her house to her grandmother's house that is 178 miles away. She is driving at rate of 65 miles per hour. If she wants to know how long the trip will take she should.....
Click here to see answer by mukhopadhyay(490)

Question 33204: Marshall has 36 feet of fencing to use to build a pen. He plans to use the barn for on side of the pen. What is the largest area he can create for the pen using the 36 feet of fencing and the side of the barn?
Click here to see answer by longjonsilver(2297)

Question 33263: A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the maximum area that the class can enclose with 32 ft of fence? What should the dimensions of the garden be in order to yield this area?
Click here to see answer by mukhopadhyay(490)

Question 33414: The perimeter of a rectangle window is 32 ft. Find the dimension of the window that will enclose the largest area.
Click here to see answer by Paul(988)

Question 33499: Here's my question:
Which is the better buy: a grapefruit 5 m in radius that costs 22 cents or a grapefruit 6 cm in radius that costs 31 cents?
I'm not even sure how to start this one! Help!!
Click here to see answer by stanbon(57219)

Question 33494: Hi. Here is a problem I am having trouble with:
Two cubes have sides of lengths 4 cm and 6 cm, respectively. What is the ratio of their volume?
Thanks for your help!
Click here to see answer by mszlmb(115)

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