Questions on Geometry: Rectangles answered by real tutors!

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Question 201: The length of a rectangular park is 4 m longer than the width. If the area of the park is 140 m^, find the length and the width.
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Question 113:
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Question 624: I'm having some trouble with these problems. Please Help
1. The perimeter of a rectangular lot is 222 feet. if the length is 33 feet shorter than twice the width, write an equation and then find the length and width of the lot.
2. An 18 foot board is cut into three pieces. the second piece is four times as long as the first piece and the third is 2 feet longer than the first piece. write an equation and then find the lengths of the three pieces.
Thank you

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Question 1421: The width of a rectangle is 45% of the length. If the perimeter of the rectangle is 58cm, find its width.
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Question 1768: A rectangular yard is surrounded by a fence that is 4 feet longer than it is wide. If the perimeter of the fence is 424 feet, what are the dimensions of the yard it encloses?
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Question 1741: The lengths of the sides of three squares are s, s+1, and s+2 . If their total area is 365 cm squared, find their total perimeter.
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Question 1824: I have been out of school for 20 years and trying to help my daughter with her homework, and I need help.
The problem is: I have $850 to replace a patio. I'm making a square concrete patio with a brick border that is 8 inches wide around the outer edge of the patio and the total lenght of a side is 2X inches. Draw a diagram and write a polynomial for the area of the floor of the patio not including the brick. Assume that X is equal to 10.''.

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Question 1740: Start with a square. Double its base, then shrink its height by 3inch. The new rectangle's area is 40 square inches loarger than the area of the original square. How long are the sides of the square?
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Question 1891: A rectangular picture measures 8” by 11” before it is framed. The frame has a uniform width, and the total area of the picture and the frame is 238 square inches. What is the width of the frame?
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Question 1936: Word Problem:
The table used for table tennis is 4 ft longer than it is wide and has a area of 45 ft^2. What are the dimensions of the table?

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Question 2012: A box is to be formed from a rectangular piece of sheet metal by cutting squares measuring 5 inches on a side and then folding the sides. The piece of sheet metal is twice as long as it is wide. If the volume of the box is to be 1760 inches cubed, what are the dimensions of the original piece of sheet metal?
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Question 2356: what are the dimensions of a rectangle whose area is 60 sq ft; thanks
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Question 3082: The width of a rectangle is 24 feet less than its length. What polynomials will represent its perimeter and area if the actual length is 44 feet?
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Question 3035: The length of a rectangle is twice the width of the rectangle.
The length of a diagonal of the rectangle is 25 cm.
Work out the area of the rectangle.
Give your answer as an integer.

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Question 3289: The length of a rectangle is 10 m less than twice the width of the rectangle. The area is 2800 m2. Find the length and width of the rectangle.
I know that the length =2w-10 and thatLxW=2800 so 2800=W (2W-10) is that right ? and where do i go from there I know there is an answer i figured it out its W=40 lenght is 70 (because it= 2800) how to I write down the formula and how di solve the formula help

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Question 3405: Can you help:
Sue wants to put a rectangular garden on her property using 80 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the gardens area as a function of x. Find the dimensions of the field so that its area is a maximum.

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Question 3405: Can you help:
Sue wants to put a rectangular garden on her property using 80 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the gardens area as a function of x. Find the dimensions of the field so that its area is a maximum.

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Question 3477: The side of a square, AB and AD, are extended 14cm and 10cm respectively, to form sides AE and AF of a rectangle. If the perimeter of the rectangle is at least twice the perimeter of the square, at most how long is a side of the square?
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Question 3479: A box with a square base no top is to be made from a square piece of tin by cutting out a 3cm square from each corner and folding up the sides. If the box is to hold 48cm3, what size piece of tin should be used.
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Question 3590: a side of a square is 12cm. the midpoints of its sides are joined to form an inscribed square, and this process is continued as shown in the diagram. find the sumof the perimeters of the squares if this process is continued withoutend. a side of an equilateral triangle is 10cm. the midpoints of its sides are joined t fom an inscribed equilateral triangle, and this process is continued without end
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Question 2902: Find, in simplest radical form, the length of a square whose perimeter is 24.
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Question 4024: The perimeter of a rectangle is 50ft. The width of a rectangle is 5ft. less than the length. Find the length and the width of the rectangle. P = 2w +2L
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Question 4045: The diagonal of a square television screen measures 18 inches. What is the length of the sides?
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Question 4043: The diagonal of a square television screen measures 18 inches. What is the length of the sides?
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Question 4129: One side of a rectangle is 7 cm longer than the other side. The diagonal is 8 cm longer than the shortest side of the rectangle. Find the dimensions of the rectangle. I am stuck and do not know how to solve this problem
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Question 4129: One side of a rectangle is 7 cm longer than the other side. The diagonal is 8 cm longer than the shortest side of the rectangle. Find the dimensions of the rectangle. I am stuck and do not know how to solve this problem
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Question 4383: the length of a room is 5 feet more than the width of the room. the perimeter of the room id 70 feet. find the length and width of the room.
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Question 3701: The area of a gymnasium floor is 264 square yards. The floor is 11 yards wide. How long is the floor?
a)253 yards
b)24 yards
c)11 yards
d) 242 yards

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Question 4462: A flower bed is in the shape of a rectangle. Its length is twice its width. The bed is surrounded by a walkway 4 feet wide. If the area of the walkway is exactly twice the area of the bed, find the dimensions of the bed.
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Question 4473: The ancient Greeks discovered that a rectsngle where the length-to-width ratio was 8 to 5 ( known as the golden ratio) were most pleasing to the eye. Kayla wants to create a painting that will be framed by some antique molding that she found. If she calculates that the molding can be used to make a frame of 104 inches in perimeter, what dimensions should her painting be so that it is visually appealing?
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Question 7856: I have to find the perimeter of a rectangle it says use P=2w=2L
my dimensions are in inches and they are 2x for W and 2x+6 for L How do I solve this problem?

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Question 8177: its been about 7 years since geometry, sorry, but i'm very stuck!
i hae 2 rectangles i need to find the area. i'm not sure there is enough info for either.
rectangle #1 a=5.0ft (height of rectangle)
b=10.4ft (length of rectangle)
i used 3.14 for pi
i can figure out the second, i think if i know how to do the first..


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Question 9674: How do you find the length and width of a rectangle if the perimeter=38 and the area=90 square meters?
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Question 13040: wat is the formula for the area of a rectangle

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Question 13463: if the area of a rectangle is 72 squares inches and the length is 8 inches what is the width? i keep coming up with 26. please help
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Question 13485: The length of a rectangle is twice the width. The perimeter is 48 in. Find the dimensions of the rectangle?
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Question 13546: The length of a rectangle is 1cm more than 4 times the width. The perimiter is 42cm. find the length and width
let__=width
let__=length
equation
solve

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Question 13808: the perimeter of a rectangle is 44cm. The length is 2cm more than three times the width. Find the dimensions of the rectangle.
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Question 13807: A RECTANGLEHAS A SQUARE CUT FROM IT.
THE PART LEFT BEHIND (ANOTHER RECTANGLE) IS SIMILAR TO (THAT IS, SCALED VERSION OF) THE ORIGINAL RECTANGLE.
IF THE BREADTH OF THE ORIGINAL RECTANGLE IS 1 WHAT IS THE LENGTH (TO 3 DECIMAL PLACES)?
COULD YOU PLEASE HELP ME TO GO ABOUT ANSWERING THE ABOVE MATHS PROBLEM?

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Question 13878: the perimeter of a rectangle is 122m. the length of the rectangle is 11m less five times the width. find the dimensions of the rectangle.
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Question 17324: if p = 2l + 2w what is the perimeter of a rectangle that is 6 in x 7 in ? could you please explain to me how to do this, because my teacher does not...
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Question 17523: Given the rectangle with perimeter 38 in. Find a.
The rectangle I have pictured has 14 in on the bottom and the letter a on the right hand side.

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Question 17631: Determine the perimeter and the area of a rectangle with a length of 12.1 m and a width of 7.3 m.
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Question 17867: Can you please help me. I have been out of school for over 30 years and am trying to help my child. She had this question on a test. How do I show her how to work out the answer.
You have a baseball diamond that is 11 x 11.How far would Susie have the throw the ball to Mary who is on second base. I said 11 ft but my daughter said 22 ft but both were wrong.
Thank you for your help
Paula

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Question 18101: A rectangular room is 1.8 times as long as it is wide, and its perimeter is 30 meters. Find the dimension of the room.

The length is: meters and the width is: meters.

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