Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 1199998: In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks!
Click here to see answer by ikleyn(52778)

Question 1200078: An open box with base 14 cm by 18 cm and height 9 cm (external dimensions) is
constructed with all four sides and the bottom 2 cm thick. What is the total surface area of this box in square cm?
Dear Respected Tutor,
It may occur to you that the solution to this problem is widely available online. (There's an Algebra.com one too, but I am highly doubtful in its correctness) I, however, fail to grasp how/why a 2cm thick base implies every wall is 2 cm. Yes, I have never seen a box with a thicker base, but what if there's some styrofoam on the bottom? In short, why can we assume each wall is 2cm thick?
Thank you lots!
Click here to see answer by ikleyn(52778)

Question 1200281: Find the number of paths from A to B, moving up and right
only. Notice that two lines have been left out.

https://ibb.co/3c2Fk1X
Click here to see answer by greenestamps(13198)

Question 1200315: Show how to draw the figure without lifting your pencil
from the paper, without ever retracing a line segment, and
(this is important) without ever crossing a line you have
already drawn.
https://ibb.co/ts14gXv
Click here to see answer by greenestamps(13198)

Question 1200548: A rectangular piece of paper with length 29 cm and width 12 cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

Click here to see answer by josgarithmetic(39617)

Question 1200557: Find the height, , of the diagram if each circle has a radius of
https://ibb.co/GCTqxvG
Click here to see answer by Solver92311(821)

Question 1200556: Find, in simplest radical form, the shortest possible
distance in centimeters that could be traced from A to B
on the surface of this 12 cm x 16 cm x 36 cm block.
https://ibb.co/SPd5gsB

Click here to see answer by Solver92311(821)

Question 1200767: Peter is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 6 inches × 12
1
2
inches. He needs to cut another rectangle that is 10
1
3
inches by 10
1
2
inches. How many total square inches of construction paper does Peter need for his project?
Click here to see answer by mananth(16946)

Question 1200866: Let us have a triangle $\triangle ABC$ and a point $D$ on $BC$ such that $BD = DC = DA.$ If $\angle ABC = 50^\circ,$ then how many degrees are in $\angle ACB$?
Click here to see answer by ikleyn(52778)

Question 1200873: A flowerbed is a rectangle with a semicircle at each end.
The total length of the flowerbed is 50 feet and the width is 14 feet.
a) Sketch the flowerbed and determine its area.
b) A gardener can plant 10 plants per square yard. How many plants should
he buy for this flowerbed?
c) The fertilizer he will apply should be spread at a rate of 2 kg per 30 m2.
About how much fertilizer will he need for this garden?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1200999: you are building a tabletop for a workbench. the length is 8ft and the area of the top that you want is 24ft^2. How wide should the tabletop be?
Click here to see answer by ikleyn(52778)

Question 1201075: Hello I'm having trouble with this one, thanks for the help. The dimensions of a picture inside a frame of uniform width are 12 by 16
inches. If the whole area (picture and frame) is 288 in2, what is the width of
the frame?
Click here to see answer by josgarithmetic(39617)

Question 1201151: A certain automobile cooling system contains 12.0 L of coolant that is 15% antifreeze.
How many liters of mixture must be removed so that, when it is replaced with pure antifreeze, a mixture of 23% antifreeze will result?

Click here to see answer by ikleyn(52778)

Question 1201265: The perimeter of a teacher's table is 4.8 meters. The length is 60 cm shorter than twice the width. Find the dimensions of the table.
Click here to see answer by ikleyn(52778)

Question 1201462: A bedroom requires 1,000 square feet more carpet than is needed to cover a living room. The carpet area required for both the bedroom and the living room is 958 square meters. How many square meters of carpet are needed for the room?
Click here to see answer by mananth(16946)

Question 1201484: A file that is 278 megabytes is being downloaded. If the download is 14.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52778)

Question 1201487: two angles are complementary if the sum of their measures is 90° three angles are complementary. one angle is double the smallest angle. the largest angle is triple the smallest angle.
Click here to see answer by mananth(16946)

Question 1201498: a problem to solve for a SIDE of a RECTANGLE

Click here to see answer by josgarithmetic(39617)

Question 1201527: Below is 4*4*4 cube. Matuk painted all six faces purple. when it dried he separated the small cubes and then glued the small cubes together with yellow glue to make a solid block. Before the glue dried he pushed out all the blocks which had purple paint on only one face. He pushed out from the front first. Then he pushed out the blocks from the side then the blocks form the top. How many cubes did he push out?
a)32 b) 24 c)64 d)48
Click here to see answer by ikleyn(52778)

Question 1201555: The difference between the length and width of Alan’s rectangular deck is 0 ft. The difference between the length and width of Keko’s rectangular deck is 5 feet. Both decks have the same area. Which person will need a longer railing to go around the deck? Explain.
Click here to see answer by greenestamps(13198)

Question 1201628: The density of steel is approximately 7.8 grams per cubic centimeter. An empty steel can with a mass of 76 grams has a radius of 6.1 centimeters and a height of 6.3 centimeters. Estimate the thickness of the steel. Round your answer to the nearest hundredth.
Click here to see answer by ikleyn(52778)

Question 1201738: The total area of a cube is 216 cm2. Find the length of an edge.
Click here to see answer by mananth(16946)

Question 1201740: A cone and a cylinder both have height 7 and radius 3. Find the ratio of their volumes without actually calculating them.
Click here to see answer by mananth(16946)

Question 1201740: A cone and a cylinder both have height 7 and radius 3. Find the ratio of their volumes without actually calculating them.
Click here to see answer by ikleyn(52778)

Question 1201741: The lateral area of a cone is 32pi and the slant height is 8. Find the radius, height, total area, and volume.
Click here to see answer by mananth(16946)

Question 1201739: Find the volume of a regular hexagonal pyramid with base edge 8cm and height 12cm.
Click here to see answer by mananth(16946)

Question 1201805: Find the value of 1-2+3-4+4-6+...-100
Click here to see answer by josgarithmetic(39617)

Question 1201805: Find the value of 1-2+3-4+4-6+...-100
Click here to see answer by ikleyn(52778)

Question 1201805: Find the value of 1-2+3-4+4-6+...-100
Click here to see answer by greenestamps(13198)

Question 1201914: The density of steel is approximately $7.8$ grams per cubic centimeter. An empty steel can with a mass of $76$ grams has a radius of $6.1$ centimeters and a height of $6.3$ centimeters. Estimate the thickness of the steel. Round your answer to the nearest hundredth.
Click here to see answer by mananth(16946)

Question 1201912: The density of steel is approximately 7.8 grams per cubic centimeter. An empty steel can with a mass of 76 grams has a radius of 6.1 centimeters and a height of 6.3 centimeters. Estimate the thickness of the steel. Round your answer to the nearest hundredth.
The thickness of the steel is about
mm.
Click here to see answer by josgarithmetic(39617)

Question 1201995: https://ibb.co/svHJWRS
Solve for a
Click here to see answer by greenestamps(13198)

Question 1201994: https://ibb.co/ZmyxbPN
Solve for m.
Click here to see answer by greenestamps(13198)

Question 1202120: The mirror is from the tree, and Josh is standing 8.2ft from the mirror, as shown in the figure. His eyes are 6ft above the ground. How tall is the tree? Round your answer to the nearest foot.
Click here to see answer by josgarithmetic(39617)

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, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020