Questions on Geometry: Rectangles answered by real tutors!

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Geometry: Rectangles

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Question 73092: The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Click here to see answer by rmromero(383)

Question 73176: A rectangle is placed under the parabolic arch by f(x)=27-3x^2 by using a point (x,y) on the parabola,as shown on the figure.Write a formula for the function A(x) that gives the area of the rectangle as a function of the x-coordinate of the point chosen.
answers are:
a.f(x)=6(27-3x^2)
b.f(x)=27x-3x^3
c.f(x)=54x-6x^3
d.f(x)=162x-6x^3
Click here to see answer by stanbon(26291)

Question 73320: WHAT IS THE AREA OF A RECTANGLE WITH A WIDTH OF 12 FEET AND A LENGTH OF 10 FEET?
WHAT IS THE PERIMETER OF A TRIANGLE WHERE THE SIDES MEASURE 6,8,AND 10 INCHES?
WHAT WOULD BE THE RADIUS OF A CIRCLE WITH A DIAMETER OF 8 INCHES?
Click here to see answer by bucky(1732)

Question 73292: Geometry. Find the area of the rectangle shown in the figure.
Top: side:
I need some assistance with this problem in understanding how to find the area. Thanks.
Click here to see answer by checkley75(3666)

Question 73439: Find the length of a carpet 75 cm wide to cover the floor of a room whose dimensions are 8 meters by 6 meters.
Click here to see answer by bucky(1732)

Question 73454: Can you help with this problem?
Find the dimensions of a rectangle "a" with the greatest area whose perimeter is 30 feet.
thank you
Click here to see answer by funmath(2873)

Question 73651: I dont understand what they are looking for
An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer V=X(8-2X)(6-2X)
V=X(48-12X-16X+4X^2)
V=48X-28X^2+4X^3

b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here
(graph 400x400 pixels, x from -10 to 10, y from -10 to 10, y = 4x^3 -28x^2 +48x).

c) Using the graph, what is the value of x that will produce the maximum volume?
Answer x=-3.5

Click here to see answer by checkley75(3666)

Question 73694: I am having trouble figuring this question. A rectangular garden has the dimensions 30 feet wide by 16 feet high A pathway cuts diagonally through the garden. What is the length of the pathway?
Click here to see answer by bucky(1732)

Question 73781: the length of a rectangle is 5 inches more than the width. if the perimeter of the rectangle is 98 inches, what is the lenght and width?
Click here to see answer by checkley75(3666)

Question 73643: what formula to use when the question states
"For a rectangle where the Perimeter=43cm and the Width=3.4cm, find the length"
also
"Find the Area formula to find the missing dimension of the following rectangle"
A=96m2, l=7.2m, w=?
Click here to see answer by tazoftroy(22)

Question 73993: section 9.6 # 46

Geometry. The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 5 cm, what are the dimensions (the length and width) of the rectangle?
Click here to see answer by jim_thompson5910(13794)

Question 74628: This relates to unknown lenght & width of a rectangle with a known area:
How do I solve the equation? (How do I work out what formula to use?).
Area = 352 sq.cm
1 side = (X x 2)
other side = (X + 9)
Iwant to show workings - rather than guessing at what X represents.
Click here to see answer by ptaylor(1578)

Question 74963: Solve each of the following problems. Be sure to show the equation used for the solution.
Geometry. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle.

Click here to see answer by ptaylor(1578)

Question 75821: The area of a rectangle is 48 Sq. meters. The length is 4 times the width. Find the length and width.
Click here to see answer by terbear1963(43)

Question 75826: The length of a rectangle is 8cm more than the width. The area is 50 sq.cm. Find the length and the width in simplest form.
Click here to see answer by checkley75(3666)

Question 75886This question is from textbook
: How do I find the perimeter of a rectangle with the sides of:
5x+1 (left height), 9X (top length), 8x-2 (right height), 17x-6 (bottom length)This question is from textbook

Click here to see answer by checkley75(3666)

Question 76192This question is from textbook College Algebra Esssentials
: Hi, I could really use some help with this problem.
A rectangle has one vertex on the line x>0, another at the orgin, one on the positive x-axis, and one on the positive y-axis.
Draw the graph. Express the area of rectangle A(x) as a function of horizontal side x. Find the dimensions and area of largest rectangle that can fit under the line in Quadrant 1.
Thank you,
JodiThis question is from textbook College Algebra Esssentials

Click here to see answer by scott8148(3382)

Question 76273: The length of a rectangle is 7 in. more than twice its width. If the perimeter of the rectangle is 32 in., find the width of the rectangle.
Click here to see answer by tutorcecilia(2042)

Question 76481: The length of a rectangle is 7 in. more than twice its width. If the perimeter of the rectangle is 32 in., find the width of the rectangle.
My choices are
2 in.
3 in.
4 in.
5 in.
Click here to see answer by bucky(1732)

Question 76678: Find the length of each side of the rectangle so that it has the given perimeter.
Note: Perimeter = 2*length + 2*width
Length= 2x-5
Width= x

p=50 in.
Click here to see answer by funmath(2873)

Question 76677: Divide.
50p^9q^5/ 10pq^2
A) 5p8q3
B) 5p9q3
C) 40p8q3
D) 40p9q3

Click here to see answer by Poohbear272(22)

Question 76676: A rectangle has sides of 3x – 4 and 7x + 10. Find the expression that represents its perimeter.
[Perimeter = 2* width + 2*length]

Click here to see answer by checkley75(3666)

Question 76790: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by ptaylor(1578)

Question 76810: Please help.
The length of a rectangle is 2 ft longer than the width. If the area is 16 ft^2, then what are the length and width?
Click here to see answer by checkley75(3666)

Question 76922: A rectangular sheet of paper measures 8 1/2inches by 11 inches. What is the area of the sheet?
Click here to see answer by chitra(359)

Question 76924: Mr. Hudson's rectangular lot is 18 meters wide and 31 meters long. What is the area of his lot?
Click here to see answer by avidreader27(9)

Question 77091: Geometry. Find the perimeter of the given figure.
Figure is a rectangle with a length of: x/ 2x – 5
and height of: 8/ 2x – 5

Click here to see answer by wodkit02(9)

Question 77120: A rectangular field is three times as long as it is wide and it is enclosed by a fence x feet in length. What is the areas of the field, in terms of x?
Click here to see answer by josmiceli(3012)

Question 77419: Geometry. The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by bucky(1732)

Question 77538: A room is divided by a rectangle partition 6 feet high and 8 feet long. How many square tiles, each of which covers a 6 inch by 6 inch area, are required to cover one side of this partition? I don't know how to even start!
Click here to see answer by checkley75(3666)

Question 77517: the length of a rectangle is 4 less than twice its width. if the area of the rectangle is 20, find the width of the rectangle to the nearest tenth
Click here to see answer by checkley75(3666)

Question 77647: The width of a rectangle is 7 ft less than the length. The area of the rectangle is 120 ft2(square). Find the width of the rectangle.
Click here to see answer by prabhjyot(164)

Question 77651: Simplify-
6y(y+2)
9y2(y+2)

Click here to see answer by tutorcecilia(2042)

Question 77640: The width of a rectangle is 7 ft less than the length. The area of the rectangle is 120 ft 2Square). Find the width of the rectangle.
Click here to see answer by tutorcecilia(2042)

Question 77680: The width of a rectangle is 5 and the length of the diagonal is 13. Find the area of the rectangle.
Click here to see answer by checkley75(3666)

Question 78022: I need extra help with this problem how to work with it.
The length of a rectangle is 1cm more than 4 times its width. If the area of the rectangle is 74cm^2, find the dimensions of the rectangle to the nearest thousandth.
My responce to this is HUH...
Click here to see answer by tutorcecilia(2042)

Question 76921: I am a rectangle. my area is 36 cm2. My lenght is 12 cm. What is my width? Explain how you decide.
Click here to see answer by ivy12003(22)

Question 78401: In what type of quadrilateral are the diagonals NOT always congruent to each other?
Click here to see answer by dolly(163)

Question 78557: The length of a rectangular playing field is 5ft less than twice it's width. If the perimeter of the playing field is 230ft, find the length and width of the field.
Click here to see answer by ptaylor(1578)

Question 78608This question is from textbook Elementary and Intermediate Algebra
: A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length. This question is from textbook Elementary and Intermediate Algebra

Click here to see answer by bucky(1732)

Question 78862: d...ch10
#34
A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, garden plus walkway, is to be 1800ft^2. What must be the width of the walkway to the nearest thousandth?
Click here to see answer by ankor@dixie-net.com(6693)

Question 79044: Geometry. Find the area of the rectangle with these sides:
One side: √3+√5
Another side: √3+√5

Click here to see answer by stanbon(26291)

Question 79650: The sides of a rectangle are 10 and 16. Find, to the nearest degree, one of the smaller angles formed at the intersection of the diagonals.
My work:
Click here to see answer by ankor@dixie-net.com(6693)

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