Questions on Geometry: Area and Surface Area answered by real tutors!

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Question 1163267: graph the following curves:
y=x, xy=1 and x=2
and determinethe area bounded using:
a)A vertical element
b)A horizontal element
Click here to see answer by Edwin McCravy(20055)

Question 1163283: The figure at right shows a 2 × 2 × 2 cube ABCDEFGH, as well as midpoints I
and J of its edges DH and BF. It so happens that C , I , E , and J all lie
in a plane. Can you justify this statement? What kind of figure is
quadrilateral CIEJ, and what is its area? Is it possible to obtain a polygon
with a larger area by slicing the cube with a different plane? If so, show
how to do it. If not, explain why it is not possible.
Click here to see answer by Edwin McCravy(20055)

Question 1163335: Find the total grazing area of the goat G represented in the figure (a top view) shown at right. The animal is tied to a corner of a 40′ ×40′ barn, by an 80′ rope. One of the sides of the barn is extended by a fence. Assume that there is grass everywhere except inside the barn.

Click here to see answer by Alan3354(69443)

Question 1163388: Hi, I have answered these questions but I'm not sure of my answers, can you check them please? thanks!
1. Given triangle JKL~triangle PQR and KL=3/4QR. Which of the following is true?
a. The ratio of areas of triangle JKL to PQR is 9/16
b. Angle K=3/4 of angle Q
c. The ratio of perimeters of triangle PQR to triangle JKL is 3/4
d. None of the above
I'm stuck between b and c
2. A water glass is shaped like a cylinder with height 9 in. and diameter 4 in. How many times as much water
can a glass twice as tall and twice as wide hold?
a.18
b.4
c.8 -> my answer
d.16
3. A circle with a radius of 8 is placed within a square (the radius of the square is also 8), the square is shaded. Find the probability that a random point is within the shaded region. Express your answer as percent to the
nearest tenth.
a.21.5%
b.27.3%
c.72.7%
d.78.5% -> my answer
4.A rectangle with the dimensions of 10 by 4 is placed within a bigger rectangle with dimensions 6 by 16, the bigger rectangle is shaded. Find the probability that a randomly selected point falls in the shaded region.
a. 56.0%
b. 58.3%
c. 71.4%
d. 41.7% -> my answer I got 0.4117
5. Two similar cylinders have heights of 2 cm and 3 cm. What is the ratio of their volumes?
a. 4/9
b. 8/27
c. 2/3 --> my answer
d. 1/2
Click here to see answer by greenestamps(13200)

Question 1163580: Find the volume of a triangular prism with a base area of 485.3 cm2
and a height of 8.5 cm. Express your answer rounded to one decimal place.

Click here to see answer by ikleyn(52781)

Question 1163620: A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1200 in3,
what were the original dimensions of the piece of metal?

Click here to see answer by ikleyn(52781)

Question 1163705: Madison needs 415 square feet of carpet for her living room, 590 square feet of carpet for her dining room, and 735 square feet of carpet for her family room. How many total square feet of carpet total does she need for all three rooms?
Please show work, thank you in advance!
Click here to see answer by ikleyn(52781)

Question 1163706: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, express the area A of the window as a function of the width x of the window.
Click here to see answer by greenestamps(13200)

Question 1164259: What is the radius of a sphere with a surface area of 4ft
Click here to see answer by Alan3354(69443)

Question 1164764: A room is 3m high and it's floor is rectangle of 5m by 4m . 1L of paint covers 12msq. How much paint is needed for walls???
Click here to see answer by ikleyn(52781)

Question 1165111: Find the percent of area under a normal curve between the mean and minus
1.16 standard deviations from the mean.
Click here to see answer by Boreal(15235)

Question 1165110: Find the percent of the total area under the standard normal curve between the following z-scores.
z=0.55 and z=1.1
Click here to see answer by Boreal(15235)

Question 1165488: The area of the curved surface of a right circular cylinder varies jointly
as its radius and altitude. If the area of such a surface whose radius is 12cm and whose altitude is 10cm is 240𝜋 cm^2
, what is the area of a similar
surface whose radius is 8 cm and whose radius is 9 cm^2
Click here to see answer by josgarithmetic(39617)

Question 1165895: Use the formula for the area of triangle
(A=1/2m second power, b= , h=10m
Click here to see answer by ikleyn(52781)

Question 1165895: Use the formula for the area of triangle
(A=1/2m second power, b= , h=10m
Click here to see answer by Alan3354(69443)

Question 1165991: How many rectangular prisms with integer side lengths and exactly two
square faces have equal volume and surface area?
Click here to see answer by greenestamps(13200)

Question 1166073: Each of the vertices of section ABCD is at the trisection of the edges of the cube as shown. Find the area of the section.
I apologize for the hassle, but since the image of the diagram cannot be inserted in the text, I have provided a image-hosting link instead: https://ibb.co/Z135Z2Y
Click here to see answer by greenestamps(13200)

Question 1166366: Here is a rectangle
The length of the rectangle is 7cm longer than the width of the rectangle
4 of these rectangles are used to make this 8-sided shape
_____
| | ___|
__|_| |
|___|__|
The perimeter of the 8-sided shape is 70cm
Work out the area of the 8-sided shape
Click here to see answer by Alan3354(69443)

Question 1166439: Find the area of a triangle with a base of 9 ft and a height of 4/9 ft.
Click here to see answer by ikleyn(52781)

Question 1166609: You have just bought a new home, and the builder has shown you the blue prints for one of the rooms in the house. It is a rectangular room with a semi-circular wall which is pictured below, but is not drawn to scale. For all calculations involving
π
, use
π
≈
3.14
.
Height of 1o and width of 11

a) You are going to put crown molding around the top edge of each wall to add flare to the transition between the wall and the ceiling. How much crown molding would you need to purchase for this room?
Amount of crown molding needed =
feet.
Round your answer to 2 decimal places as needed.
b) How much flooring would need to be purchased for the room?
Amount of flooring needed =
square feet.

Click here to see answer by ikleyn(52781)

Question 1166778: I have this ST=14 and RT=58,find RS.
Click here to see answer by josgarithmetic(39617)

Question 1166778: I have this ST=14 and RT=58,find RS.
Click here to see answer by ikleyn(52781)

Question 1166972: In the diagram, triangle ABC is inscribed with diameter AC. Semicircles are constructed having AB and BC as diameters. The total area represented by regions a and b, in square units, is:
A) 105.125 π
B) 210
C) 420
D) 210.25 π
E) 105
https://imageshack.com/i/pmYzXW65j

Click here to see answer by solver91311(24713)

Question 1166971: In the diagram, O is the centre of the circle and sector angle COB is 120 degrees. CB has arc length 4 π cm. Also AC=AB. Find the area, in cm*2, of the shaded region.
A)30
B)18 √ 3
C) 27 √ 3
D) 27
E) 24 √ 3
https://imageshack.com/i/pn2akcrPj

Click here to see answer by Boreal(15235)

Question 1166973: In the diagram, ABC is a right triangle with each leg divided into 5 equal segments as shown. If the area of trapezoid ACKD is 36 cm*2, then the area, in cm*2, of trapezoid FIGH is:
A) 20
B) 8
C) 18
D) 14
E) 12
https://imageshack.com/i/pmYOg7wIj
Click here to see answer by greenestamps(13200)

Question 1167339: The bases of an isosceles trapezoid are 3 and 5 inches. acute angle at the bottom base is 45°. What is the area of the trapezoid
Click here to see answer by ikleyn(52781)

Question 1167364: https://0cm.classmarker.com/8289233_1RC13N73.png
Above is the link of the image you'd need to help solve this problem. I guessed it is 2, but I'm probably wrong. So here is the question. Three-Quarters of the area of the rectangle is shaded. What is the length of OK. Show your work.
Click here to see answer by ikleyn(52781)

Question 1167554: In the diagram, AB=2CB. The ratio of the area of the inscribed square to the area of triangle ABC is:
A) 1:3
B) 2:5
C) 5:11
D) 4:7
E) 4:9
https://imageshack.com/i/poZ4rSWlj
Click here to see answer by solver91311(24713)

Question 1167550: In the diagram, the area of triangle ABC is 48 cm^2 and DE and FG are perpendicular to BC. The area of pentagon ADEGF, is:
A) 30
B) 42
C) 34
D) 36
E) 32
https://imageshack.com/i/pntQQVi7j

Click here to see answer by greenestamps(13200)

Question 1167578: Question 3 (1 point)
What is the area of a shape given: d = 17.5 and h = 18.0.

Use π = 3.14 as needed. Round to two decimal places as needed.
Click here to see answer by ikleyn(52781)

Question 1167580: What is the area of the shape below given: d = 17.5 and h = 18.0.
Complex shape consisting of an isosceles triangle whose width is 17.5 and altitude is "h", and half of a circle whose diameter is "d".
Use π = 3.14 as needed. Round to two decimal places as needed.
Click here to see answer by ikleyn(52781)

Question 1167553: Beginning at the origin, a spiral is constructed from 3 semi circles with centres at (1,0),(0,0),(2,0). The area of the shaded region, in u^2 is:
A) 7 π-2 √3/6
B) 8 π-√3/3
C)8 π-6 √3/3
D) 3 π -2 √3
E) 11 π -6√3/3

https://imageshack.com/i/pmBbsOMDj
Click here to see answer by greenestamps(13200)

Question 1167551: A circle is inscribed inside an equilateral triangle. If the circumference of the circle is 6 cm, then the area of the triangle, in cm^2 is:
A) 27 √3 π
B) 27 √3/π
C) 27 √3/π^2
D) 9 √3/π^2
E) 9 √3 π

Click here to see answer by greenestamps(13200)

Question 1167912: Find the area of sector AOB with radius 12 feet and mAB = 280 degrees. Give your answer in terms of *pi symbol*
Click here to see answer by ikleyn(52781)

Question 1168083: Find the area, in cm^2, of right triangle ABC. CD=30.5 and is a median.
A)350
B)360
C)345
D)330
E)335
https://imageshack.com/i/po4p4PBdj
Click here to see answer by ikleyn(52781)

Question 1168086: In the diagram, BCDF is a square and angle GDE is 90 degrees. BG=2 cm and GF=6 cm. Find the area of triangle FDE.
A) 36 1/3
B) 42 2/3
C) 40
D) 42 1/4
E) 44 3/4
https://imageshack.com/i/pm7GkIkVj
Click here to see answer by solver91311(24713)

Question 1169006: The lateral area of a regular square prim is 96 sq. cm and the altitude of the prism is 8cm. Find the length of an edge of the base.
Click here to see answer by ikleyn(52781)

Question 1169007: The lateral area of a regular square prim is 96 sq. cm and the altitude of the prism is 8cm. Find the length of an edge of the base.

Click here to see answer by ikleyn(52781)

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