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Question 1048398: Ref. Question 1048321:

(x + 21)^2 = x^2 + 1869
X^2 + 441 = X^2 + 1869
x^2 + 441 - 441 = X^2 + 1869 - 441
x^2 = x^2 + 1428
Stuck here.
Click here to see answer by Alan3354(69443)

Question 1048412:
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Question 1048532: the perimeter of equilateral triangle is 60cm .find its area

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Question 1048372: If the side of the square is reduced by 1 unit, its new area is 4x^2=6x+9/4. What is the original area of the square?
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Question 1048486: Ref. Questions 1048321, 1048398:
(x + 21)^2 = x^2 + 42x + 441 = x^2 + 1869
x^2 - x^2 + 42x + 441 - 441 = x^2 + 1869 - 441
42x = 1428

x = 34 (side of upper base)
34 + 21 = 55 (side of lower base)
34 * 34 = 1156 (area of upper)
55 * 55 = 3025 (area of lower)
3025 - 1156 = 1859
??

Click here to see answer by Alan3354(69443)

Question 1048602: Ref. 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.

(x + 21)^2 = x^2 + 1869
X^2 + 441 = X^2 + 1869
x^2 + 441 - 441 = X^2 + 1869 - 441
x^2 = x^2 + 1428
Stuck here.

" Answer:
(x + 21)^2 = x^2 + 1869
X^2 + 441 = X^2 + 1869 ******* (x+21)^2 = x^2 + 42x + 441
x^2 + 441 - 441 = X^2 + 1869 - 441
x^2 = x^2 + 1428 "

My attempt:
(x + 21)^2 = x^2 + 42x + 441 = x^2 + 1869
x^2 - x^2 + 42x + 441 - 441 = x^2 + 1869 - 441
42x = 1428
x = 34 (side of upper base)
34 + 21 = 55 (side of lower base)
34 * 34 = 1156 (area of upper)
55 * 55 = 3025 (area of lower)
3025 - 1156 = 1859
Where am I correct?

Click here to see answer by advanced_Learner(501)

Question 1049007: The radius is 8cm and the measurement of the central angle is 90 degrees. What is the area of the shade region? (express in terms of pi)
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Question 1049076: A lot is 50 m by 41 m. A house 28 m by
8 m is built on the lot. How much area is left?
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Question 1049491: A matte is to be cut and placed over five small square pictures before framing. Each picture is 5 in. wide, and the matte frame is 37 in. wide, as shown in the figure. If the pictures are to be equally spaced (including the space on the left and right edges), how wide is the matte between them?
(I just need to know how to set this problem up!)
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Question 1049606: How can i estimate for a bedroom?
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Question 1049628: A circular tide pool is surrounded by a walkway that is 1 meter in width. The diameter of the walkway plus the tide pool is 8 meters. To the nearest tenth meter, what is the circumference of the tide pool only
Click here to see answer by ikleyn(52781)

Question 1049968: The length of a rectangle is 3 times the width. The area is 54 sq yards. What are the length and width?
Click here to see answer by advanced_Learner(501)

Question 1049968: The length of a rectangle is 3 times the width. The area is 54 sq yards. What are the length and width?
Click here to see answer by ewatrrr(24785)

Question 1050242: A piece of drain pipe, Cylindrical in shape, Is 6 ft. Long. The wall of the pipe is 1/2 in. thick; the inner radius of the pipe is 16 in. Find the total area of the piece of pipe; inside, outside, edges. (Assume the pipe to be a right cylinder in shape. )
Click here to see answer by Alan3354(69443)

Question 1050390: A steel roller is 2 ft. Long and 15 in. in diameter. What area will it cover in rolling through 150 revolutions?
Click here to see answer by rfer(16322)

Question 1050464: The side of one square is 4m. longer than that of another square. The area of the larger square is 4m^2 less than twice the area off the smaller square. Find the length of each square.
Click here to see answer by Fombitz(32388)

Question 1050599: An engineer is designing a rectangular solar panel that must have an area of 3 m2. Determine the dimensions of the solar panel with a minimum perimeter.

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Question 1050683: The equations y = 2x - 1 and y = -1/2x + 4 intersect in Quadrant I. Find the area of the triangle formed with this point of intersection and the two y-intercepts of the lines.
Click here to see answer by ewatrrr(24785)

Question 1050688: What equation best represents the area of the triangle? The triangle has a height of x+2 and a base of 4x.
A. A=2xsquared+4x
B. A=4x(x+2)
C. A=2xsquared+2
D. A=4xsquared+8
Click here to see answer by Fombitz(32388)

Question 1051041: The height of a cylinder is equal to the length of its diameter. The curved surface area of the cylinder is 100 pie cm squared. Calculate the height.
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Question 1051191: find cost of papering the four walls of room 16 meters long,12 meters broad,and 8 meters high with paper 2 meters wide at Rs.50 per meter?
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Question 1051318: The surface area of this rectangular prism is 29,404 square meters. What is the value of r?
R=width 74m=length 97m=height
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Question 1051388: A square has an area that measures twice the area of a circle. Calculate the ratio of the perimeter of the square to the circumference of the circle.
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Question 1051445: if a cube with a surface area of 600 square centimeters holds 1 liter, how many liters are held in a curve with a surface area of 5400 square centimeters
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Question 1051584: A school club has a swimming pool that measures 22 m by16 m .The authorities want to place a fence around the pool and leave 10 m between the fence and the pool for a deck area.how much fencing will be needed?
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Question 1052122: Find the surface area ofa square pyramid if the height of the triangles is 4cm and the bottom edge is 2cm. Please show or explain work.
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Question 1052194: What is the area between two concentric circles of diameter 26cm and 20cm
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Question 1052350: the surface area of a cube is 96 cm2. what is its volume ?

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Question 1052713: Solve circumference and area for diameter which diameter= 4ft
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Question 1052713: Solve circumference and area for diameter which diameter= 4ft
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Question 1053121: Write a function rule for the area of a triangle with a base 4in less than twice the height
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Question 1053121: Write a function rule for the area of a triangle with a base 4in less than twice the height
Click here to see answer by addingup(3677)

Question 1053511: Help me find the surface of this semi cylinder. The width is and the length is
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Question 1053631: Earth has a thin outer layer called the crust, which averages about 24 km thick. Earth's diameter is about 12,750 km. What percentage of the volume of Earth is the crust?
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Question 1053724: Find the area of the circle to the nearest tenth. r=7ft
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Question 1053965: the pattern shown below is composed of rectangles. This pattern is used repeatedly to completely cover a rectangular region 12L units long and 10L units wide. How many rectangles of dimensions L by W are needed?
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Question 1054558: Hello-
This is a story problem.
there is a picture of a triangle shaded inside of a rectangle, there are no units of measure, just the triangle inside of a rectangle.The triangle base is as long as the length of the triangle, but appears to be a scalene triangle, and its top vertex touches the top of the rectangle.
Here is the question:
The area of the shaded triangle in the figure at the right is 43 square inches. What is the area of the rectangle?
Click here to see answer by josgarithmetic(39617)

Question 1054889: A square-based pyramid has base measurements of 1 m and a height of 1.4 m, and is made by joining 8 pieces of wire together to form a frame. Find the total length of wire in the frame
Click here to see answer by ikleyn(52781)

Question 1055018: A gift has the dimensions of 50cm � 35cm � 5cm. you have wrapping paper with dimensions of 75cm � 60cm. Do you have enough wrapping paper to wrap the gift? Why or why not?

Click here to see answer by Edwin McCravy(20055)

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