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

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Question 1043104: Two perpendicular chords divide a circle with a radius of 13 cm into four parts. If the perpendicular distances of both chords are 5 cm each from the center of the circle, find the area of the smallest part.
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Question 1043182: a frustum of a pyramid consist of a square base of length 10cm and a top square of length 7cm the height of the frustrum is 6cm. Calculate to the nearest whole number (a) the surface area (b) volume

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Question 1043251: The ratio of the areas of two rectangular fields is 25/9
a)find the ratio of there length
b)if the smaller field is 120m long,find the corresponding length of the larger field
3)The heaps of rice are of similar shape and contain 128kg and 250kg of rice respectively.if the height of the bigger heap is 70cm,find the height of the smaller one
4)If the area of a smaller cone is 102cm2,calculate the area of the larger cone

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Question 1043239: A window is made up of a square portion and an equilateral triangle portion above it. The base of
the triangular portion coincides with the upper side of the square. If the perimeter of the window is
6 m, the area of the window in m2
is ___________.

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Question 1043186: A frustrum of pyramid consist of square base of length 10cm and a top square of 7cm the heights of the frustrum is 6cm calculate
(A) the surface area
(B)volume

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Question 1043411: The total surface area of a right cylinder is 100 radius square centimeters. If a radius of the base and the altitude of the cylinder are the same length, find the lenth of a radius.
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Question 1043541: given that the perimeter of the window is 50cm. show that an expression for y in terms of x is given by y=(50-2x-piex)/2

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Question 1043611: The minimum area of cardboard which I need to make a box which is 10cmx12x17 is
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Question 1043643: The area of the cross section of a sphere at the largest point is 100π square miles. What is the total surface area of this sphere? Leave your answers in terms of π.
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Question 1043641: Find, in terms of π, the surface area of a sphere generated by rotating a semicircle of radius 6 inches about its diameter.
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Question 1043641: Find, in terms of π, the surface area of a sphere generated by rotating a semicircle of radius 6 inches about its diameter.
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Question 1043769: The minimum area of a cardboard that you need to make a box 10cm multiply 12cm multiply 17cm
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Question 1043884: a square pyramid has a height of 1.5 inches, a slant height of 3.9 inches and a volume of 25.92 inches cubed. to the nearest square inch, what is the lateral surface area of the pyramid?
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Question 1044007: how to calculate the slant heighr if given the height and the angle only

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Question 1044008: how to calculate the slant height if given that the heigt is 63cm and the angle is 71 opposite


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Question 1044021: A rectangle has a perimeter of 30 inches and it's dimensions are whole numbers what is the maximum possible area of the rectangle in square units
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Question 1044287: The area of a square that is 7 meters by 7 meters is how much greater than the area of a square containing 8 square meters? Explain.
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Question 1044328: a right circular cone has an altitude of 25 cm and a base diameter of 20cm rest on the top of a right circular cylinder of the same base and 30cm high.
a) Find the total volume of the composite figure.
b) Find the total surface area of the composite figure.

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Question 1044450: You have a table which is oblique in shape. How will you find it's surface area, when you can't use any *Length measuring element*.?
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Question 1044565: Need help to find the total surface area of the composite figures. It is a rectangular prism that is located inside of a cylinder.
Rectangular Prism:
Length: 14ft
Width: 6ft
Height: 14ft
Cylinder:
Radius: 14ft
Height: 14ft

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Question 1044570: Need help to find the surface area of each composite figure. The rectangular prism is located inside a cylinder.
Rectangular Prism:
Length: 14ft
Width: 6ft
Height: 14ft
Cylinder:
Radius: 14ft
Height: 14ft

Click here to see answer by ikleyn(52781) About Me 

Question 1044822: The area of a rectangle is 1.7 square units. The length is 3.4 units and the width is z units.
A Z=0.5
B Z=5.74
C 3.4z=1.7
D 1.7z=3.4
There is more than one correct answer,there is multiple

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Question 1044870: Need to find the surface area of composite figures and leave answer in terms of pi. The first figure is a cone with a radius of 10mm and a height of 24mm (does not give the slant height) and inside is a hemisphere with a radius of 8mm.
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Question 1044871: Need to find the surface area for the composite shape and leave in terms of pi. There are two rectangular prisms with bases touching. the first rectangular prism has a base of 8ft and a slant height of 15ft. the second rectangular prism has a base of 8ft and a slant height of 18ft. thank you.
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Question 1044883: If x is length of one side of the painting, what equation can you set up to find the length of a side? How many solutions does the equation have?

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Question 1044876: Asking this question again as was responded too but no answer was given:
Need to find the surface area of composite figures and leave answer in terms of pi. The first figure is a cone with a radius of 10mm and a height of 24mm (does not give the slant height) and inside is a hemisphere with a radius of 8mm.

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1044876: Asking this question again as was responded too but no answer was given:
Need to find the surface area of composite figures and leave answer in terms of pi. The first figure is a cone with a radius of 10mm and a height of 24mm (does not give the slant height) and inside is a hemisphere with a radius of 8mm.

Click here to see answer by KMST(5328) About Me 

Question 1045131: A map has the scale 1 inch = 10 miles. On the map, the area of Big Bend National Park in Texas is about 12.5 square inches. Estimate the actual area of the park in acres. (Hint: 1 square mile = 640 acres)
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Question 1045115: A 20 cm x 30cm x 10 cm hollow blocks are used to enclose a ware house that could accommodate 3000 boxes measuring 30 cm x 30 cm x 30 cm. How many hollow blocks will be use to enclose the said warehouse?
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Question 1045219: I have a rear yard that is 90'x60' , I am building a garage 50x40. Does my new garage cover more than 50% of my year yard
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Question 1045676: How many times does 720 squared go into 40 square metres
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Question 1045748: A 20 foot ladder is resting against the side of a house the base of the ladder is 4 feet away from the house approximately how high above the ground does the ladder touch the house
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Question 1045752: Find the base of a triangle when the area given is 345 centimeters square. The Heights is 50 centimeters
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Question 1046507: A rectangular yard 102 feet long and 68 feet wide has some dead grass spots. The sprinkling system waters with 6 sprinklers. They water in a circle that touches the next circle, 3 on top and 3 on bottom. The radius each sprinkler covers is 17 feet.
a. How much area does one sprinkler cover?
b. How much area do all 6 sprinklers cover?
c. What is the area of the lawn?
d. What area of the lawn is not watered?

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Question 1046514: Given: A square with a quartercircle inside forming from the midpoint of one side of the square to the midpoint of another side.
Question: If the area of the quartercircle is 1.00, what is the area of the square?

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Question 1046639: A square garden is to be enlarged to a rectangular by adding 5 ft. to the length and deducting 4 ft. from the width, with area unchanged. Determine present and new dimensions.

My partial attempt:
Area = length * width
Let s = side of square.
Square:
Length: s Width: s Area: s^2
Rectangle:
Length: s + 12 Width: s - 4 Area: (s + 5) (s - 4)

Not sure how to proceed. Thanks.

Click here to see answer by ewatrrr(24785) About Me 

Question 1046667: Ref. Question 1046639:
"(s + 5) (s - 4) = s^2
s^2 + s - 20 = s^2
s = 20ft for the Square"
I don't understand these steps. Thanks.

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Question 1046646: Ref. question on garden:
The side of rectangle should be x + 5. Sorry for error.

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Question 1047157: A square that has an area of 225cm^2 is stretched to make a larger square. The larger square has an area 4 times that of the original square. What is the perimeter of the larger square?
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Question 1047185: Disregard question 1046646. Posted in error.
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Question 1047992: Surface area is the same as volume. Solve for x.
A 3-d rectangular box has the following measures:
length= 11 inches
width= 3 inches
height=x
Please help me set up. I know volume formula is LxWxH

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Question 1048269: A right triangle has one vertex on the graph of y=x^5 , x>0, at (x,y) another at the origin, and a third on the positive y-axis at (0,y). Express the area A of the triangle as a function of x
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Question 1048269: A right triangle has one vertex on the graph of y=x^5 , x>0, at (x,y) another at the origin, and a third on the positive y-axis at (0,y). Express the area A of the triangle as a function of x
Click here to see answer by advanced_Learner(501) About Me 

Question 1048321: The lower square base of the Washington Monument has a side 21 ft. more than the upper square base. Area of the lower base is 1869 sq. ft. more than the upper base. Determine dimensions of each square.
Area = length * width
Let x = lower base
Let y = upper base
Lower:
Side: x + 21 Side: x + 21 Area: (x + 21) (x + 21)
Upper:

Side: y Side: y Area: y^2
y^2 = (x + 21) (x + 21) + 1869
y^2 = x^2 + 21x + 21x + 441 + 1869
y^2 = x^2 + 42x + 2310
Unsure from here. Thanks.


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Question 1048371: Not understanding geometry lateral and surface area problems in geometry
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