Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 50639: Peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller square feed lots. If he uses 480 ft of fencing, then how much area will be filled in?
The answer in the back of the book is 6400ft squared.
Click here to see answer by rapaljer(4671)

Question 50683: please answer something you dont have to do all of them anything at all would be GREATLY appreciated. Thank you so so much. I'm having trouble.

1)find the exact length of the side of a square if the length of a diagonal is 10.
2) the area of a triangleis 24 and it's base is 8. Find the altitude to that base.
3)An angle 13.6 degrees is smaller than its complement find the measure of the angle
4)a nine by 12 rectangle is enlarged by a scale factor of 7/3. Find the demensions of the new rectangle.
5) the shorter side of one rectangle is 4, and the shorter side of a similar rectangle is 12. If the area of the smaller rectangle is 24, find the area of the larger rectangle.
6) state one property that distinguishes:
a) a rectangle from a parallelogram; b) a rhombus from a parallelogram;
7) a circle of radius 9 is inscribed in a square. Find the area of the region b/w the circle and the square. Draw a correct figure.
Click here to see answer by venugopalramana(3286)

Question 50826: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by darq(90)

Question 50891: Qhat are the measures of two complementary angles if the difference in the measures of the two angles is 12?
Click here to see answer by Earlsdon(6294)

Question 51165: How can you divide a segment or an angle into two equal parts?
Click here to see answer by stanbon(75887)

Question 51177: Hello, I have a problem that has been answered here already. The problem is, I don't quite understand how he arrived at the answer. The problem and answer is here: http://www.algebra.com/cgi-bin/jump-to-question.mpl?question=19628
The original question is: Suppose that the length of a rectangle is one and one-third times as long as its width. The area of the rectangle is 48 square centimeters. Find the length and width of the rectangle.
The answer given is:
LET WIDTH =W
LENGTH=one and one-third times as long as its width.=(1 and 1/3)(W)..=(4/3)(W).
=4W/3
SO AREA =L*W=(4W/3)*W=48
W*W=48*3/4=36
W=6 CM
L=4W/3=4*6/3=8 CM
I understand most of it, until the line w*w=48*3/4=36 , I'm not sure I understand how he turned 4/3 into 3/4 and multiplied it by 48. I thought one could only add or subtract when bringing a fraction across? Sorry if this is a dumb question.
Click here to see answer by stanbon(75887)

Question 51265: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft^2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by checkley71(8403)

Question 51163: how can you divide a segment or an angle into two equal parts?
Click here to see answer by venugopalramana(3286)

Question 51883: hi i really need your help...im like stessed out right now!!!!
i need to know the formulas for perimemeter, are and volume of a geometric solid. please!!!!!
Click here to see answer by AnlytcPhil(1806)

Question 52283: how do you take half of 12 and get 7 ?
Click here to see answer by Earlsdon(6294)

Question 52282: If the sides of a square are decreased by 3cm, the area is decreased by 81cm squared. What were the dimensions of the original square? I was also wondering if you could show the work you used to get to the solution, thank you.
Click here to see answer by Earlsdon(6294)

Question 52442: At a company fish fry, � in attendance are employees. Employees� spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
Click here to see answer by AnlytcPhil(1806)

Question 52663: Find the measure of an angle whose supplement is 45 degrees more then twice its complement.
Click here to see answer by Paul(988)

Question 52665: Simplify the expression: -7[-2x � (3x + 8) + 5] � 3x + 7
i got -4(8x+7) as my solution and I'm not sure
Click here to see answer by EduDragon(8)

Question 52665: Simplify the expression: -7[-2x � (3x + 8) + 5] � 3x + 7
i got -4(8x+7) as my solution and I'm not sure
Click here to see answer by gsmani_iyer(201)

Question 52666: Evaluate the expression for the given value of x and y:
2x^2-1
______; x= - 1/2, y=2/3 Im lost and don't know were to start
y+3
Click here to see answer by funmath(2933)

Question 52664: Two cars leave towns 230 km apart at the same time, traveling directly toward one another. One car travels 15km per hr slower than the other. They pass one another 2 hours later. What are their speeds?
Click here to see answer by checkley71(8403)

Question 53017: A quadrilateral is a polygon with four sides. The sum of the measures of the 4 angles in a quadrilateral is 360 degree. If the measures of the angles of a quadrilateral are consecutive odd integers, find the measures.
Click here to see answer by ankor@dixie-net.com(22740)

Question 53294: Another Geometry word problem that I cannot translate into algebra:
If two angles are supplementary, and the larger angle is 20 degrees less than three times the smaller angle, find the measure of each angle.
Click here to see answer by funmath(2933)

Question 53292: I don't even know what this means.
If two angles are complementary, and the differance of their measures is 62 degrees, find the measure of each angle.
Click here to see answer by funmath(2933)

Question 53289: I can't seem to translate English into algebra. I'm so frustrated right now. I am an English major and have never been very good at math. I'm assuming this problem is very simple but I just don't get it:

Q: If nine times a certain number is subtracted from 7, the result is 52. Find the number.
Click here to see answer by stanbon(75887)

Question 53291: This problem has to do with Geometry. Again, I can't seem to translate the English in to algebra.
One of two complementary angles is 6 less than twice the other angle. Find the measure of each angle.
Click here to see answer by Nate(3500)

Question 53349: I'm so stuck on this one.. never have been good at geometry and algebra. I appreciate the help.
Find the measures of the three angles of a triangle if the largest is 14 degrees less than three times the smallest, and the other angle is 4 degrees more than the smallest.
Click here to see answer by stanbon(75887)

Question 53352: How do I find consecutive numbers first?
Q: Find four consecutive whole numbers such that the sum of the first three equals the fourth number.
Click here to see answer by stanbon(75887)

Question 53353: I'm really lost on this one. In my work I must be missing a step, but I can't seem to backtrack and find it.
Q: Find a number such that 20 more than one-third of the nuber equals three-fourths of the number.
Click here to see answer by stanbon(75887)

Question 53351: This is a good one. I'm really stuck however and need some help.
Last week on an algebra test, the highest grade was 9 points less than three times the lowest grade. The sum of the two grades was 135. Find the lowest and highest grades on the test.
Click here to see answer by 88chaos88(6)

Question 53350: Here we go again. How would I determine what the angles are if the differnce of their measure is 10 degrees?
Here's the problem:
One of the angles of a triangle has a measure of 40 degrees. Find the measures of the other two angles if the difference of their measures is 10 degrees.

Click here to see answer by checkley71(8403)

Question 53380: Here is a problem that I can't seem to translate: ah! help! :)
Q70: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 53483: the perimeter of a quadrilateral is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the shortest side. Find the length of all four sides.
p.s I tried using a table to organize the variables but I can't seem to solve it.
Click here to see answer by stanbon(75887)

Question 53476: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
One side of a triangle is three times as long as another side. The third side is 15 centimeters long. If the perimeter of the triangle is to be no greater than 75 centimeters, find the largest lengths that the other two sides can be.

Click here to see answer by EduDragon(8)

Question 53467: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
6> or equal to -1 and x< 3
Click here to see answer by tutorcecilia(2152)

Question 53532: In a small rectangular wallet photo, the widith is 7 cm less than the length. If the border (perimeter) of the photo is 34cm, find the length and width
Click here to see answer by checkley71(8403)

Question 53575: Suppose you and a friend are standing on an ice-skating rink and you push off against each other. You will go in opposite directions, but the product of your speed and your weight will be the same as the product of your friend's speed and her weight.
a. suppose the common value of this product is 483, when the units are pounds and miles per hour. Let w = your weight in pounds and let s = your speed in miles per hour. Write an equation that models the situation. Is this an example of inverse variation?
b. Let's say you weigh 105 lbs. How fast will you be traveling after you push off
c. friend weighs 75 lbs. how fast will she be going after you push off?
Click here to see answer by stanbon(75887)

Question 53620: The length of a rectangle is 7 m less than twice the width. If the lenght is decreased bi 1mand the width by 4 m, the perimeter will be 66 m. Find the demensions of the original rectangle.
Click here to see answer by venugopalramana(3286)

Question 53763: The problem is...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.
I thought you would go length times width, but for some reason the added numbers are confusing me. wouldnt 5x-2x=230?
Click here to see answer by aaaaaaaa(138)

Question 53465:
My problem is Colton is designing a new logo for the high school hockey team jerseys. He decides to outline the logo with a regular hexagon (6 sides of equal length and 6 interior angles of equal measure) with a side length of 4 inches. What measure should he use for each interior angle in the regular hexagon?

Click here to see answer by stanbon(75887)

Question 53824: For the floor plans given in exercise 27, 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). The floor plans for the building (in exercise 27) have the four corners of a room located at the points (2,3), (11,6), (-3,18), and (8,21).
McGraw Hill 6th edition, 7.2, Problem # 28. Thanks!!
Click here to see answer by stanbon(75887)

Question 53849: The perimeter of an isosceles triangle is 100 centimeters. If two sides are equal length and the third side is 10 centimeters longer than the others, find the length of the three sides
Click here to see answer by checkley71(8403)

Question 53861: A triangle has a perimeter of 28 meters . Find the length of each side of the trianle if the two shorter lenghts multiplied together equal the longer side multiplied by 5
Click here to see answer by Nate(3500)

Question 53469: I'm supposed to solve, graph and write solution set in interval notation for this problem. And I can't find an example in the book to help me. I was wondering if you could help with the steps and see if it reminds me how to do this. Thanks..
x< or equal to -2 or x > or equal to 1
Click here to see answer by stanbon(75887)

Question 54292: The area of a rectangular room is 56 square feet. The length is 6 feet less than twice the width. Fin the dimensions of the room.
Click here to see answer by Cintchr(481)

Question 54609: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
I am so stuck I do not even know where to start. Please help!!
Click here to see answer by tutorcecilia(2152)

Question 54798: Can someone help me on this problem?
A rectangular solid has a base with length 10 cm and width 9 cm. If the volume of the solid is 270 cm^3, find the height of the solid. (They gave a hint: The volume of a rectangular solid is given by V = LWH)
Thanks,
Lisa
Click here to see answer by ankor@dixie-net.com(22740)

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