Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 337157: if the measures of the four interior angles of a pentagon are 112, 102, 118, and 107, what is the measure of the fifth interior angle?

Click here to see answer by jrfrunner(365)

Question 337076: Will you please help me to set up the equation and solve for this word problem?
A triangle has a perimeter of 161 miles. The length of each of the two smaller sides of the triangle is two-thirds the length of the longest side. Find the length of each side of the triangle.
Click here to see answer by Fombitz(32388)

Question 337189: The sum of the measures of the complement and the supplement of an angle is 214 degrees. find the measure of the angle.
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Question 337077: A traveler found out that the circumference of the earth at its equator is about 40 700 km. Solve for the area and the volume of the earth. Use 3.14 for the value of pi.
Click here to see answer by Earlsdon(6294)

Question 337421: Leonardo of Pisa (about 1175�1258), also known as Fibonacci
(fee buh NAH chee), was born in Italy and educated in North Africa. He was
one of the first Europeans known to use modern numerals instead of Roman
numerals.The special sequence 1, 1, 2, 3, 5, 8, 13, . . . is known as the Fibonacci
sequence. Find the next three terms of this sequence.
Click here to see answer by mananth(16946)

Question 337583: The perimeter of a rectangular swimming pool is 210 meters. The length of the pool is double the width. Find the length and width of the pool.
P=210, P=2L+2W L=2W
210 = 2(2W)+2W
210 = 4W+2W
210 = 6W
210/6 = W
W=35 METERS
L = 2W)=2(35) = 70 METERS

Click here to see answer by benazir.sj@gmail.com(109)

Question 337602: two circular gears whose teeth interlock when the gears turn. Gear A has 72 teeth and gear B has 48 teeth. How many complete revolutions does gear A make when gear B makes 9 complete revolutions?
Click here to see answer by mananth(16946)

Question 337650: A ladder is leaning against a house and the base of the ladder is 15 feet from the house. When the bottom of the ladder is pulled 9 feet farther away from the house, the upper end of the ladder slides 13 feet down. How long (in feet) is the ladder?
DRAW YOU LADDER AND LABLES TO YOUR PYTHAGOREAN THEOREM:
A^2+B^2=C^2
FIRST LADDER: C^2=24^2+A^2
SECOND LADDER: C^2=15^2+(A+13)^2
PLUG IN: 24^2+A^2 = 15^2+(A+13)^2
24^2+A^2 = 15^2+(A+13)(A+13)

24^2+A^2 = 15^2+A^2+26A+13^2
24^2+A^2-A^2 =15^2+A^2+26A+13^2-A^2
24^2 = 15^2+26A+13^2
24^2-15^2-13^2= 26A
576-225-169 = 26A
182/26 = A
A = 7 FEET

GO BACK AND PLUG IN THE THEOREM FOR EACH LADDERS FOR VARIFICATION.
C^2=24^4 + A^2 C^2=576+7^2=49+576=625
C=SQRT625 = 25 SO THE LADDER IS 25 FEET ANSW.( DO FOR THE OTHER TOO SHOULD BE THE SAME... C^2=15^2+(A+13)^2)
Click here to see answer by nerdybill(7384)

Question 337647: Circle C has radius √2 Squares with sides of length 1 are to be drawn so that, for each square, one vertex is on circle C and the rest of the square is inside circle C. What is the greatest number of such squares that can be drawn if the squares do not have overlapping areas?
(A) None (B) One (C) Two (D) Three (E) Four

Click here to see answer by J2R2R(94)

Question 337757: If a square region has area x, what is the length of the diagonal in terms of x?
(A) root x
(B) Root 2x
(C) 2 Root x
(D) x Root 2
(E) 2x
The answer should be 2 Root x but i cannot figure out the reason why it should be answer choice C.

Thanks

Click here to see answer by jim_thompson5910(35256)

Question 337779: I have 24ft of fencing and need to get an area of 64ft squared.
How can I do this?

Click here to see answer by Fombitz(32388)

Question 337779: I have 24ft of fencing and need to get an area of 64ft squared.
How can I do this?

Click here to see answer by jim_thompson5910(35256)

Question 337868: What is the fewest amount of legs you can have on a table without wobbling?

Click here to see answer by rfer(16322)

Question 337877: The length of a rectangle is 6 times longer than the width. The perimeter is 42. What is the width?
Click here to see answer by stanbon(75887)

Question 337878: In a isosceles triangle, two sides are the equal. The third side is two less than twice the length of the two equal sides. The perimeter is 38. What are the lengths of the three sides?
Click here to see answer by rfer(16322)

Question 337884: The sum of the measures of the angles of a triangle is 180 degrees. The second angle is twice the measure of the first angle. The third angle is three times the measure of the second angle. Find the measure of each angle.
Click here to see answer by rfer(16322)

Question 338020: Farmer Tariq's rectangular field is 40 meters long. If the area of the field is 1,000 square meters, how wide, in meters, is the field?
Click here to see answer by solver91311(24713)

Question 338356: An architect is designing a right trangle-shaped wall for an art museum. The hypotenuse of the wall will be 12 meters long. One of th other sides will be 6 meters long and the angle between these two sides will be 60 degrees. Find the length of the third side of the wall to the nearest tenth of a meter
Click here to see answer by edjones(8007)

Question 338486: an angle is 5 times as big as its supplement

Click here to see answer by rfer(16322)

Question 338510: If a 5-cm piece of wire is cut into two parts so that one part is four times as long as the other, what is the length of the longer part?
Click here to see answer by unlockmath(1688)

Question 338562: Please help with this problem. It has been over 20 years since I have had Algebra and need a little refresher.
Her is the story problem:
Because of a noisy neighbor, a young man decided to put acousinal tiles on the living room ceiling which measures 21 feet by 18 feet. The tiles are square, with a side length of 1 foot. If the tiles cost $3 a piece, what is the total cost to cover the ceiling?
Put in either 4,6,8.
Thank you!
My e-mail address is makaylasmum@yahoo.com

Click here to see answer by Fombitz(32388)

Question 338558: Of the three angles of a triangle one is half the greatest and other is thrice the smallest .find the angles
Click here to see answer by Fombitz(32388)

Question 338566: An ice cube that measures 3.5 centimeters on each side contains how many cubic centimeters of ice?
Click here to see answer by Alan3354(69443)

Question 338584: the perimeter of a large rectangular store room measures 900 ft. the surface area of its floor is found to be 50,000 sq ft. how long is each side of the room?
Click here to see answer by nerdybill(7384)

Question 338753: The radius of a circle is decreased by 8%. What is.the percent dhgffxifferencbje

in the circumferen e
Click here to see answer by Alan3354(69443)

Question 338756: gary is 5 years older than henry.21 years ago, gary was twice as old as henry.what is the age of gary and henry.

Click here to see answer by mananth(16946)

Question 338812: How many cubical blocks, each with edges of length 4 centimeters, are needed to fill a rectangular box that has inside dimensions 20 centimeters by 24 centimeters by 32 centimeters?
Click here to see answer by mananth(16946)

Question 338905: the radius of a circle is decreased by 8%. The % difference of the area of the circle is? Can you please show me the steps?
Click here to see answer by Fombitz(32388)

Question 338961: A room is 6m long, 4.5m wide and 4m high. The 4 walls and ceilings are to be painted. If the doors and windows have an area of 14m^2, what is the area to be painted?
My answer is 111m^2 but I didn't know if its correct.
Click here to see answer by rfer(16322)

Question 338956: Show how two lines that are each perpendicular to a third line can be perpendicular to each other.
Click here to see answer by jim_thompson5910(35256)

Question 338800: A circle is inscribed in a square. If a side of the square is π/2 what is the ratio of the perimeter of the square to the circumference of the circle?
a 1/4π b 1/π c 2/π d 4/π e π/2

Click here to see answer by ankor@dixie-net.com(22740)

Question 338958: Students in a dancing class are spread evenly around a circle and are then counted consecutively from 1. Student #20 is opposite student #53. How many students are there in the group?
Click here to see answer by jrfrunner(365)

Question 338955: Given a segment, how many lines are there in a space that are perpendicular bisectors of the given segment? (make a sketch)
Click here to see answer by Alan3354(69443)

Question 339283: How do you calculate the total square inches of a box given the dimensions: 8 inches wide-12 inches long and 6 inches high. According to my textbook the answer is 336 square inches.
Click here to see answer by Alan3354(69443)

Question 339332: Can someone please help me with this problem?
Factor by grouping, if possible. Show all work necessary
x^8 + x^4 + x^4 + 1

Click here to see answer by mananth(16946)

Question 339369: what rectangle have a perimeter of 52cm if both length and width are whole number?
Click here to see answer by stanbon(75887)

Question 339367: The measure of one angle of a triangle is three times the measure of the smallest angle, and the measure of the last angle is equal to the sum of the other two angles. Find the measure of the greatest angle of the triangle.
Click here to see answer by stanbon(75887)

Question 339372: a glass factory has an order for 1000 glass paper weighs; each is to be form of a cube. if this order requires 8000 cubic inches of glass, what is the surface area of one of the paper weighs?
Click here to see answer by nerdybill(7384)

Question 339600: The perimeter of a rectangle playing field is 504 yards. Its length is 6 yards shorter than twich its width. What is the area?

Click here to see answer by rfer(16322)

Question 339765: A person 5ft 8in tall s casting a shadow of 3ft 4in. What is the angle (to the nearest degree) of the sun above the horizon?
Click here to see answer by mananth(16946)

Question 339795: the width of a rectangle is one-third of the length. if the perimeter is 40cm, find the dimensions of a rectangle.

Click here to see answer by mananth(16946)

Question 339540: B is the midpoint of AC. AB=8v, and AC=2v=42. What is BC
Click here to see answer by Fombitz(32388)

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