Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 49108: How many real numbers x satisfy this equation?

| | | x - 2 | - 4 | - 5 | = 1

Thanks again!
Click here to see answer by Born2TeachMath(20)

Question 49187: A staff member of a local university reported the following: “Out of one senior class of 500 students, 281 are taking English, 196 are taking English and History, 87 are taking History and a foreign language, 143 are taking foreign language and English, and 36 are taking all three.” Later in the week she was fired. Explain why.
Click here to see answer by josmiceli(9669)

Question 49327: A woodman chops a halfway through a tree having a diameter of 2 meters. One face of the cut being horizontal and the other inclined at 60 degrees. Find the volume of the wood cut out. I know the answer is 1.155 cu. units, but how can we arrive at that answer?
Click here to see answer by kev82(148)

Question 49567: The measure of one angle of a triangle is 30 degrees less than the measute of the second angle. The measure of the third angle is 20 degrees less than the sum of the measures of the other two. find the measures of each angle of the triangle.
sorry, I have been trying to solve this but I can't
-mc
Click here to see answer by Earlsdon(6287)

Question 49735: the length of a rectangle is 2 inches more than twice its width, if the perimeter of the rectangle is 34 inches, find the dimensions of the rectangle.
please help solve this.
Click here to see answer by checkley71(8403)

Question 49768: I am actually baffled, I am asking this for my daughter, I cannot help her because my math is very limited so even if I read how to solve I would not get very far. It is a story problem involving geometry (I think). Here is her story problem question:
To promote a new delivery service, Pizzaroo is including a free Collectable Card with every pizza purchase. What a deal! So you decided to order a Jelly Bean Pizza. Yum!
When the pizza arrived, you noticed that the free Collectable Card was in the corner of the square box, so that its corner just barely touched the outside of the perfectly-circular pizza. The Collectable Card measures exactly 140 mm by 70 mm.

What is the diameter of the pizza, in millimetres? Please round to the nearest millimetre.

Thanks for your help in advance!

Click here to see answer by venugopalramana(3286)

Question 49784: The base of a ladder is 10 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
Click here to see answer by Earlsdon(6287)

Question 49842: how do you simplify the ratio like 4kg/600g
Click here to see answer by venugopalramana(3286)

Question 50003: A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft^2, what is the width of the path?
Click here to see answer by Paul(988)

Question 50139: Sales of a software company increased linearly from $120,000 in 1996 to $180,000 in 1999
A) find an equation that expresses the sales (y) in year (x) (where (x)= 0 corresponds to 1996)
and
B) estimate the sales in 2001
Click here to see answer by lkwtcnj(8)

Question 50351: At a delicatessen, ham costs $2.49 per pound and Swiss cheese costs $3.79 per pound. The customer has $9.50 to spend on 2 pounds of ham and some cheese. How much cheese can she purchase? Write an equation and solve it.
Click here to see answer by rapaljer(4667)

Question 50355: Jamie and her friends brought 1 cheese pizza, 1 mashroom pizza and 1 pepperoni pizza. The cost of each include tax are:
Cheese $7.95
Mashroom $8.95
Pepporni 8.45
Each Pizza consit 0f 8 slices. Jamie ate 1 slice of cheese, 2 slices of mashroom, and 1 slice of pepporni. What was the cost of the pizza that Jamie ate to the nearest tenth?
Click here to see answer by tutorcecilia(2152)

Question 50525: Please help me thank you so much!
A man who is 6 feet tall casts a shadow 8.4 feet long. A nearby building casts a shadow that is 42ft long. How high is the building?
Click here to see answer by seawind(8)

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 stanbon(57290)

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(6287)

Question 51065: Side a of a triangle is 4cm longer than side b. side c is twice as long as side b. What is the length of each side of the triangle if its perimeter is 28cm? p=a+b+c
Click here to see answer by junior403(76)

Question 51165: How can you divide a segment or an angle into two equal parts?
Click here to see answer by stanbon(57290)

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(57290)

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(1276)

Question 52283: how do you take half of 12 and get 7 ?
Click here to see answer by Earlsdon(6287)

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(6287)

Question 52442: At a company fish fry, ½ 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(1276)

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(180)

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(2925)

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(15647)

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(2925)

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(2925)

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(57290)

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(57290)

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(57290)

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(57290)

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)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830