Questions on Word Problems: Geometry answered by real tutors!

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Question 1137940: If the diagonal path of a triangle is 750 feet long and the width of the triangle is 450 feet what is the length in feet of the triangle
Click here to see answer by ikleyn(52777)

Question 1137980: A magazine editor has asked a graphic artist to distort a photograph by increasing its length and width by the same amount in order to double the area of the photograph. If the photograph was 12 cm long by 8 cm wide, what are the dimensions of the enlarged photograph?

Click here to see answer by ikleyn(52777)

Question 1138113: A square is altered so that one side is increased by three meters and the other side is decreased by 7 meters. The resulting area was 200 square meters, what was the area other the original square?
Click here to see answer by josgarithmetic(39617)

Question 1138250: The doorway of a family room measures 78 inches by 36 inches. What is the length of the diagonal?

Click here to see answer by MathLover1(20849)

Question 1138282: The height of a parallelogram is 10 feet more than its base. If the area of the parallelogram is 1200 square feet, find it's base and height
Click here to see answer by ikleyn(52777)

Question 1138251: Jackson purchased a pattern for making a small kite. The pattern consists of a rectangle with dimensions 2 inches wide by 8 inches long. The directions say to enlarge the rectangle to make the kite. If Jackson makes his kite with an enlarged pattern that is 28 inches long, how wide will his pattern need to be?
Click here to see answer by Boreal(15235)

Question 1138436: Write an equation for a line parallel to
y
=
5
x
−
4
and passing through the point (2,14)
Click here to see answer by josgarithmetic(39617)

Question 1138435: The length of a rectangle is 7 feet longer than it is wide. If each side is increased 7 feet, then the area is multiplied by 4. What was the size of the original rectangle?

Click here to see answer by josgarithmetic(39617)

Question 1138434: Each side of a square is increased 9 inches. When this happens, the area is multiplied by 16. How many inches in the side of the original square?
Click here to see answer by ikleyn(52777)

Question 1138687: A circular table top has a radius of 2 1/4 feet. A decorative trim is placed along the outside edge of the table. How long is the trim

Click here to see answer by josgarithmetic(39617)

Question 1138689: A circular table top has a radius of 2 1/4 feet. A decorative trim is placed along the outside edge of the table. How long is the trim

Click here to see answer by ikleyn(52777)

Question 1138743: I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. What dimensions should I use?
Click here to see answer by josmiceli(19441)

Question 1138918: A 100ft. Building cast a 300ft shadow from the sun. What is the angle of depression?
Click here to see answer by Alan3354(69443)

Question 1138928: Suzanne has a rectangular garden which is 49 feet long and 41 feet wide. She has 581 square foot of paving stones, and she wants to build a pathway around the border of the garden, like the diagram below:
How wide will the pathway be?
(The pathway must be the same width the whole way around the garden)
x= feet
Click here to see answer by ankor@dixie-net.com(22740)

Question 1138932: Madeline has 2 times the number of games as Paulo. Paulo has 4 more games than Tyler. If Tyler has 9 games, how many games are there among the 3 friends?
Click here to see answer by josgarithmetic(39617)

Question 1138999: A ferris wheel is 136 feet tall. It casts a 34-foot shadow. What is the height of a nearby man that casts a shadow of 1.5 feet?
The man is __________ feet tall.
Click here to see answer by ikleyn(52777)

Question 1139258: Jeff is designing the rectangular top of a pool table with a width of 4 ft, length of 8 ft, and thickness of 2 ft. The base that he is putting the table on can hold a maximum of 2,000 lbs. If 1 cubic foot of the material weighs 31 lbs, the pool table's base holds the weight of the table top?
Side Note: I'm pretty sure I had to find the area if the rectangular top of the pool table which I got 32 from by multiplying 4 and 8.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1139325: You are to construct an open box
from a rectangular sheet of cardboard that measures 18
inches by 25 inches. To assemble the box, you make the four
cuts shown in the figure below and then fold on the dashed
lines. What value of x (to the nearest 0.01 inch) will produce a
box with maximum volume? What is the maximum volume (to
the nearest 0.1 cubic inch)?
Figure: https://i.imgur.com/lPeHsph.png
Click here to see answer by ankor@dixie-net.com(22740)

Question 1139324: A community skating rink is in the shape of a rectangle with
semicircles attached at the ends. The length of the rectangle
is 20 feet less than twice the width. The thickness of the ice is
0.75 inch.
(a) Build a model that expresses the ice volume, V, as a
function of the width, x.
(b) How much ice is in the rink if the width is 90 feet?

Figure of said skating rink: https://i.imgur.com/pi19b12.png

Click here to see answer by josgarithmetic(39617)

Question 1139343: In rectangle ABCD, line AD is 8 units long. What is the length of line AB in units?

Figure: https://i.imgur.com/uuCA2hc.png

Click here to see answer by josgarithmetic(39617)

Question 1139343: In rectangle ABCD, line AD is 8 units long. What is the length of line AB in units?

Figure: https://i.imgur.com/uuCA2hc.png

Click here to see answer by ikleyn(52777)

Question 1139402: Marcus is playing baseball at a local park. He and his friends refer to the playing field as a diamond but it is classified as which kind of polygon?
A. Triangle
B. Quadrilateral
C. Pentagon
D. Hexagon
Click here to see answer by MathLover1(20849)

Question 1139458: Can someone help me with this trigonometry word problem? here goes:
A helicopter maintains an elevation of 3.5 miles and
is flying toward a control tower. The angle of elevation from the
tower to the helicopter is x radians.

Figure: https://i.imgur.com/ncirDGi.png

1. The distance d must be written in miles, between the tower and the heli-copter as a function of x.

2. In this step, d must be found when x = 1 and x = 1.2. Then you must round to the nearest hundredth of a mile.

Click here to see answer by Theo(13342)

Question 1139447: Venus rotates in a nearly circular orbit around
the sun. The largest angle formed by Venus, Earth, and the
sun is 46.5°. The distance from Earth to the sun is approxi-
mately 149 million kilometers. See the following figure.
What is the orbital radius r of Venus? Round to the nearest
million kilometers.

Figure with the solar system:

https://i.imgur.com/2CCxEYH.png

Click here to see answer by rothauserc(4718)

Question 1139448: The Petronas Towers in Kuala Lumpur, Malaysia, are the world’s tallest twin towers. Each tower is 1483 feet in height. The towers are connected by a skybridge at the forty-first floor. What is the length and height of the skybridge?

The information given in the follow-
ing figure:

https://i.imgur.com/D9BNXOo.png

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

Question 1139807: circular flower garden that has a radius of 6.25 ft and is 9 inches deep. Need to buy topsoil to fill the garden which one bad cover 3 cubic feet and cost $3.38 per bag
Click here to see answer by rothauserc(4718)

Question 1139944: a local school has a gymnasium that is 48ft long, 36 ft wide with an 18 fit high ceiling. The high school staff is painting the four walls. Each can of paint contains enough paint to cover 400 square feet. How many cans of pain are needed to cover the gym?
Click here to see answer by Boreal(15235)

Question 1139950: The area of the car garage is 480 ft2. The length of the garage is 4 feet more than the width. Use the lowercase variable w for the width. Find the length and width of the garage.

Click here to see answer by josgarithmetic(39617)

Question 1139875: a small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed. how manu inches long are the sides of the pillars? explained
Click here to see answer by ankor@dixie-net.com(22740)

Question 1140084: The area of a triangular flag is 110 square centimeters. Its altitude is 2 centimeters longer than twice its base. Find the lengths of the altitude and the base.
Click here to see answer by josgarithmetic(39617)

Question 1140082: Scale Factor
The soccer team at your school wants to spray paint a design on the middle of the playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of this ball to use for the painting on the field.
explain how to accurately enlarge or reduce the size of objects such as the soccer ball. Include in your essay the steps that should be taken in order to complete a project such as the one above. Use the concepts learned in this Unit to help you write your essay. For instance, you may want to include words in your essay such as: scale factor, proportions, dilations, and similarity. Explain the process you would take to complete the project of enlarging the soccer ball.
Click here to see answer by greenestamps(13198)

Question 1140107: An observer 5.2 kilometers from the launch pad observes a missile ascending. at a particular time, the angle of elevation is 37.6
Click here to see answer by Alan3354(69443)

Question 1140117: George is putting trim around his rectangular deck, including the gate. He will need 46 feet of trim to do the entire deck. If the deck is 13 feet long, how wide is the deck?
Click here to see answer by josgarithmetic(39617)

Question 1140141: A landscaper working at a constant rate can lay 3 squares of sod in 5 minutes. Working at this rate, how many squares of sod can he lay in 2 hours?

Click here to see answer by josgarithmetic(39617)

Question 1140213: At a campground, a rectangular fire pit is 7 feet by 6 feet. What is the area of the largest circular fire that can be made in this fire pit? Use 3.14 for π. Round to the nearest square inch.

Click here to see answer by josmiceli(19441)

Question 1140200: The Thomas Jefferson Memorial in Washington, D.C., is a circular building with a rectangular porch. You are standing 20 meters away from the circular wall of the building and 49 meters away from the point of tangency. What is the radius of the circular part of the memorial?
Click here to see answer by greenestamps(13198)

Question 1140240: maria enlarged a rectangular photo using a 2.5 to 1 scale factor. the original photo measured 4 inches by 6 inches. if maria plans to frame the enlarged photo with trim, how many inches of trim will she need to frame the entire photo
Click here to see answer by greenestamps(13198)

Question 1140299: an isosceles triangle has two sides of equal length. the length of one of the equals sides is 3cm more than 2 times the length of the third side. find the length when the perimeter is 21 cm. what is the length of each equal side and what is the length of the 3rd side?
Click here to see answer by josgarithmetic(39617)

Question 1140312: A one-story office building is 50 feet by 60 feet. If a square patio with sides of 30 feet occupies the center of the building, how much area remains for offices?

Click here to see answer by Boreal(15235)

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