Questions on Geometry: Rectangles answered by real tutors!

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Question 780998: The width of a rectangular gate is 2 ft more than its height. If a diagonal board 8 ft long is used for bracing, then what are the dimensions of the gate?
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Question 781571: what is the area of a rectangle with a base of 4ft and height of 4in
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Question 781527: If a rectangle measures 3 1/2 feet by 6 3/4 feet, what is the area of the rectangle?
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Question 781588: the perimeter of a rectangle is 112 cm . the length is 30 cm . calculate the width .
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Question 782022: What is the perimeter of a rectangle whose area is 24 square centimeters and whose length is 8 centimeters?
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Question 781944: The width of a rectangle is 3 inches less than the length. The perimeter is 30 inches. Find the length and the width
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Question 781949: The length of a rectangle is 6 inches less than 2 times the width. The perimeter is 36 inches. Find the length and the width
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Question 782140: A rectangle is 5 feet longer than its wide. The perimeter of the rectangle is 34 ft. What is the length of the rectangle?

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Question 782142: A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in Long are cut from the corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in^3 what were the original dimensions of the piece of metal ?
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Question 782200: A rectangle has a length of 11 meters and a perimeter of 34 2/3 meters. Find the width of the pool?
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Question 782159: If a rectangle with length l and width w has a perimeter of 2, what are the dimensions of the rectangle with the largest area?
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Question 782468: the length of a rectangle is 15m more than the width. the perimeter of the rectangle is 74m
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Question 782716: The perimeter and the area of a rectangle are 48 cm and 140 cm square. Find the length and the width of the rectangle
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Question 782732: The width of a rectangular parking lot is 8 feet less than three-fifths of the length. The perimeter of the lot is 400 feet. Find the length and width of the lot.
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Question 782749: find the length of the diagonals of a rectangle whose length is 12 and whose width is 5.
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Question 782803: The width of a rectangle is half its length.If its perimeter is 24m,what are the dimensions of the rectangle?
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Question 782808: What is the perimeter in meters of a rectangular board with a length of 47cm and a width of 1.6m?
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Question 783176: The area of a rectangle is 991 cm2. If 991 is a prime number, what are the whole number dimensions of the rectangle? Explain your reasoning. Please help asap
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Question 783328: The perimeter of a rectangle is 350 cm. The length is 17 cm shorter than the width. Find the dimensions.
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Question 783432: a kitchen is 74 feet in perimeter. what are the dimensions?
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Question 783362: A rectangle has a perimeter of 56 feet. If the length is 2feet less than twice the width what is the demensions
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Question 783231: the perimeter of a rectangle is 82 cm. The length is 6 cm longer than the width. Find both lengths
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Question 783929: The perimeter of a rectangle is 46 inches and the area is 76 in. squared. What is the length of the shorter sides?

I have attempted to solve but keep getting negative numbers.
L=longer side; W=shorter side
46= 2L+2W
46-2W=2L
23-w=l
76=L x W
76= (23-W) x W --> multiply by W
=23w-w^2 --> divide by W
= 23-W
76-23= -w
53= -w
-53=w

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Question 784210: Find the area of a square if a side measures 15 feet
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Question 784312: Find the area of a rectangle at 14 feet and 8 inches long/= L and 5 feet and 6 inches wide/= W
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Question 784481: The length of a rectangle is 2 inches less than 4 times the width. The perimeter is 76 inches. Find the length and the width.
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Question 784761: the perimeter of a rectangle is 60. the width is 4 less than the length. find the length and width
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Question 784775: find the length of a rectangle if the perimeter is 72 yd and the length is three times the width
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Question 784908: the area of a rectangle is 9 times as long as it is wide. What is the width?
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Question 784993: A large rectangular movie screen in an IMAX theater has an area of 7,719 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide.
length=
width=

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Question 784985: the perimeter of a rectangle is 88 cm. the width is 1/3 of the length. what are the dimensions of the rectangle?
the dimensions are: width_____, and length ______ !!
NOTE: I Really Need help with this thing. Thank you So Mach!!!!

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Question 785049: there are 2 numbers. one number is 0.125 of the other number. their sum is 45. what are the numbers?
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Question 785158: The perimeter of the rectangle is 34 cm. Find the value of x.
One side is 11cm and the other is 3x cm.

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Question 785216: The length of a rectangle is represented by the binomial x+6, and the width is represented by the binomial x-4. What is an expression for the area of the rectangle?
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Question 785361: A rectangle has a length that is 4 meters more than the width. The perimeter is 184 meters. Find the length
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Question 785479: a rectangular vacant lot is 100 feet long. it's area (in square feet) is twice its perimeter (in feet). how wide is the lot?

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Question 785636: The sides of a triangle are in the ratio 3 : 4 : 5.What is the length of
each side if the perimeter of the triangle is 30 cm?

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Question 785623: A bookmark has an area of 18 square centimeters and a perimeter of 22 centimeters. What are the dimensions of the bookmark?
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Question 785624: The length of a rectangle is four times its width.
If the area of the rectangle is 144cm squared , find its perimeter.

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Question 785659: what is the length and width if the perimeter is 70 and the width is 11 feet longer than the length?
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Question 785785: Please help solve this problem:
The length of a rectangle is 20 less than the width. If the area is 343, how long is the length?

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Question 786091: A rectangle has a width of 16 cm and a diagonal of length
20 cm. How long is the rectangle?

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Question 786527: Given a cube with side length 3 inches, what is the length of the longest diagonal?
What is the length of ag?

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