Questions on Word Problems: Geometry answered by real tutors!

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Question 1150115: The width of a rectangle is twice the length. The perimeter is 104 feet. Find the dimensions.
Click here to see answer by ikleyn(52780)

Question 1150136: before rock climbing, Fernando, who’s 5.5 ft tall, wants to know how high he will climb. He places a mirror on the ground and walks six feet backward until he can see the top of the cliff in the mirror.
If the mirror is 34 feet from the cliffside, determine the height of the cliff.
Name the postulate or theorem you used.
Click here to see answer by ikleyn(52780)

Question 1150225: as a project for gym class marcus is designing a field for a new sport. the area of the teo smaller rectangles are 228 and 132 square meters. all sides have lengths which are whole numbers. what is the greatest possible width of the field?
Click here to see answer by ikleyn(52780)

Question 1150325: The length of a rectangular fish tank is twice its width. A second tank, which is 5 inches longer and 2 inches narrower than the first tank, has a perimeter of 120 inches. Find the length and width of each tank
Click here to see answer by ikleyn(52780)

Question 1150635: Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 56 inches. The height of the frame is 16 inches. What is the width of the frame?

Click here to see answer by Alan3354(69443)

Question 1150489: Two ships are traveling at right angles. The first ship, traveling at 8 m/s, crosses the path of the second ship when it is 1000 m away (from the point where the paths cross) and traveling at 6 m/s. What is the rate of separation 300 s after their paths cross?
Click here to see answer by greenestamps(13200)

Question 1150803: The slant height of a cone is 2 cm more than its radius r cm.
a) Write down the expression for the total surface area of the cone, in terms of r.
b)Find r given the cone has surface area 220 pie cm^2.
c)Find the volume of the cone.
Click here to see answer by jim_thompson5910(35256)

Question 1150853: The height of the Eiffel Tower observation deck is 0.19 miles. if the radius of the earth is approximately 3,960 miles, how far can someone see from the top of the tower, in miles?
Click here to see answer by Alan3354(69443)

Question 1150880: A square with side lengths of 15 cm is reduced by a scale factor of 0.8. Determine the side lengths of the new square?(I haven't learned about scale factors)
a) 4 cm
b) 8 cm
c) 12 cm
d) 18.75 cm
Click here to see answer by Alan3354(69443)

Question 1150901: The second side of a triangular deck is
3 feet longer than the shortest side, and the third side is
3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 48 feet, what are the lengths of the three sides?
Click here to see answer by ikleyn(52780)

Question 1150983: conditional statement: If Mary lives in Chicago,then she lives in Illinois.
Directions: write the contrapositive and state if its true or false
Click here to see answer by MathLover1(20849)

Question 1150982: conditional statement: If Mary lives in Chicago,then she lives in Illinois.
Directions: write the inverse and state if its true or false
Click here to see answer by MathLover1(20849)

Question 1150994: In trapezoid ABCD where AB is parallel to CD,K is the midpoint of AD and G is the midpoint of BC.
Click here to see answer by ikleyn(52780)

Question 1151004: A community beach wants to rope off a swimming area of 400m^2. Should they create a semi circular or rectangular area if they want to minimize the rope needed?(I believe semi-circular, but can't explain!)
Click here to see answer by rothauserc(4718)

Question 1151001: The perimeter is minimized for a rectangle with an area pf 35cm^2. What is the area of a circle that has the same perimeter than the rectangle?
Click here to see answer by ikleyn(52780)

Question 1150998: Bruslan is the architect in charge of designing a new elementary school. He has been told that each rectangular classroom should include 25m^2 of common space, plus 1.50m^2 per students for desks and chairs. If the maximum number of students in the class is 22, what is the least possible perimeter that the classroom design could have?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1151077: flag poles A and B are both perpendicular to the ground. Wires from the top of one flagpole are connected to the bottom of the other flagpole such that the point where the wires intersect is 10 feet above the ground. If the height of both A and B are an integer number of feet, how many possible heights are there for A?
Click here to see answer by greenestamps(13200)

Question 1151090: n rectangular park that is 30 yards by 72 yards, a dog began in the northwest corner and ran south along the length of the park. Then the dog ran east along the width to the southeast corner. Finally, the dog ran back to the northwest corner. How far did the dog run?
Click here to see answer by ikleyn(52780)

Question 1151105: A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.
A) find the longest possible length of the side of one of the small square.
B) find the least number of squares the game board can be equally divided into.
Click here to see answer by ikleyn(52780)

Question 1151128: Which has greater volume
. A piece of paper rolled into a cylinder Lengthwise Or
.A piece of paper rolled into a cylinder widthwise

Click here to see answer by josgarithmetic(39617)

Question 1151231: an american flag has the shape of the golden rectangle. the flags longer side is 5 feet less than twice the length of its shorter side. find the dimensions of the flag, rounded to the nearest foot.
Click here to see answer by josmiceli(19441)

Question 1151288: The gazebo in the park is an octagon each side of the gazebo is 4 feet long what is the perimeter of the Gazebo
Click here to see answer by math_helper(2461)

Question 1151428: An air conditioning system can circulate 450 cubic feet of air per minute. How many cubic yards of air can it circulate per minute
Click here to see answer by MathLover1(20849)

Question 1151471: A 6-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 116-ft shadow. How tall is the cell phone tower?
Click here to see answer by jim_thompson5910(35256)

Question 1151466: if each person occupied a 2ft x 2ft area, around how many people could you fit inside a triangular (equilateral) concert area with a perimeter if 900 ft and with the triangular height equal to 260 ft?
Click here to see answer by josgarithmetic(39617)

Question 1151491: The side lengths of a rectangular shaped garden are two consecutive even numbers. Create a quadratic equation then solve to determine the length of the garden’s diagonal.
Click here to see answer by MathLover1(20849)

Question 1151559: an engineering firm is looking at drawings for a new bridge that has metal supports in the shape of a right triangle the bases of the supports have a 64 degree angle and the 90 dgree angle. the base is 6 feet long how long will the hypotnueuse of the right triangle be
Click here to see answer by jim_thompson5910(35256)

Question 1151601: john painted his most famous work, in his country, in 1930 on composition board with perimeter 104.55 inches the rectangular painting is 5.59 inches taller than it is wide. what is the length?
Click here to see answer by Alan3354(69443)

Question 1151928: a box with a square base has no top. if 64 cm squared material is used, what is the maximum possible volume for the box?
Click here to see answer by greenestamps(13200)

Question 1151990: A furniture builder is hired to build a bookcase. He begins by building the frame of the bookcase: top, bottom, and sides. The width is 2 meters, the height is 3 meters, and the depth is 0.5 meters. If the lumber cost on average $3 per square foot, what is the BEST estimate for the cost of the materials to build just the frame of the bookcase?

Click here to see answer by josmiceli(19441)

Question 1152017: Can you help me solve this word problem? The ship’s captain located a light an angle of elevation of 65°. The light rest the top a 40 foot lighthouse. Can you draw a diagram to find the distance from the ship to the shore using the values provided below.
Sin25°= 0.423 Sin65°= 0.906
Cos25°= 0.906 Cos65°=0.423
Tan25°= 0.466 Tan65°= 2.145
Click here to see answer by josgarithmetic(39617)

Question 1151930: Work out the next 5 terms in the number sequences below and explain Your calculation using 'n' as Your First term; e.g. n+1,n+2,n+3, etc.:
a.297;290;276;255;... b.1;10;100;... c.3;9;81;... d.24;25;27;30;...

Click here to see answer by greenestamps(13200)

Question 1152219: show that the vectors a=2i+3j-k and b=3i-j+3k are perpendicular
Click here to see answer by Alan3354(69443)

Question 1152397: Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 feet and 8 feet in length. Which inequality describes any possible length, in feet, of the third side of the pen?
Click here to see answer by Alan3354(69443)

Question 1152616: A model rocket is launched from the ground with an initial velocity of 60 feet per second. The function g(t)= -16t^2+60t represents the height of the rocket, g(t), t seconds after it was launched. What is the maximum height the rocket reaches?
Click here to see answer by Alan3354(69443)

Question 1152628: A rectangular painting measures 48 centimetres by 30 centimetres. It has a border 3 centimetre wide around it. What is the area of the border?
Click here to see answer by josgarithmetic(39617)

Question 1152658: A scale model of a flat screen television is 8cm by 15cm, how long is the
diagonal?
Click here to see answer by Edwin McCravy(20054)

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