0
A floor has an area of 72 square feet and a area of perimeter 34 feet .What are the length and width of the floor?
Wiki User
∙ 15y ago
One option is length = 8 feet and the width = 9 feet. The perimeter is then 8 + 8 + 9 + 9 = 34. The area is then 8 * 9 = 72. There are many ways to solve these types of problems - one is to create a table with all the possible options to have a given area (or perimeter) and then see which combination matches. As an example - you can multiple the following numbers together to get 72: 1 * 72 Perimeter = 1 + 1 + 72 + 72 = 146 or more commonly (1 *2) + (72 *2) 2 * 36 P = (2 *2) + (36 * 2) = 76 3 * 24 P = (3 * 2) + (24 * 2) = 54 4 * 18 P = (4 * 2) + (18 * 2) = 44 6 * 12 P = (6 * 2) + (12 * 2) = 36 Finally the 8 * 9 combination
Wiki User
∙ 15y ago
Add your answer:
Earn +20 pts
What is the formula for the perimeter of a square and rectangle?
The perimeter of any rectangle is [ 2 x (length + width) ]. Since the length and width of a square are equal, the perimeter of a square is also [ 2 x (side + side) ] = (4 x side).
If you know a perimeter of a square but not the length or width how do you find the area?
Divide the perimeter by 4 and then square the result to find the area of the square.
How do you calculate the top dimensions of a rectangle if you know its perimeter and bottom area?
Important to note are these formulae: Perimeter_of_rectangle = 2 x (length + width) Area_of_rectangle = length x width So if the perimeter and area are known, then: 2 x (length + width) = perimeter => length + width = perimeter / 2 => length = perimeter / 2 - width length x width = area => (perimeter / 2 - width) x width = area (substituting for length given above) => perimeter / 2 x width - width2 = area => width2 - perimeter / 2 x width + area = 0 which is a quadratic and can be solved either by factorization or by using the formula: width = (perimeter / 2 +/- sqrt(perimeter2 / 4 - 4 x area)) / 2 = (perimeter +/- sqrt(perimeter2 - 16 x area)) / 4 This will provide two values for the width. However, each of these values is the length for the other, so the larger value is the length and the smaller value is the width. Sometimes only 1 value will be found for the width above. In this case, the rectangle is actually a square which means that the length and width are both the same. Examples: 1. perimeter = 6, area = 2 width2 - perimeter / 2 x width + area = 0 => width2 - 6 / 2 x width + 2 = 0 => width2 - 3 x width + 2 = 0 => (width - 2) x (width - 1) = 0 => width = 2 or 1. So the length is 2 and the width is 1. 2. perimeter = 12, area = 9 width2 - perimeter / 2 x width + area = 0 => width2 - 12 / 2 x width + 9 = 0 => width2 - 6 x width + 9 = 0 => (width - 3)2 = 0 => width = 3 So the rectangle is a square with both length and width of 3.
The perimeter of a rectangle is 200 inches the length exceeds the width by 96 inches?
Length + width = half perimeter = 100". Length is 98", width is 2"
What is the formula to find the length of a rectangle when the perimeter and width is already given?
Length = (Perimeter - twice width) / 2
What is the perimeter of a square with an area of 800?
Area = Legth x Width In a square, Length = Width Therefore Area = Length x Length (or Width x Width) Area = Length squared Length = Square Root of 800 Perimeter = 4 x length Perimeter = 4 x Square Root of 800 Perimeter = 113.14
What is the difference between perimeter and area of polygon?
perimeter is the measure around the figure; area is the measure within the figure formula: perimeter: length+length+width+width=perimeter (for square or rectangle) area: length times width= area ( for square or rectangle)
How can the perimeter and width of a square be linked?
If the width is s units of length, then the perimeter is 4*s units.
What is the formula for finding the area and perimeter of a square?
The area of a square is: A = Width × Height or A = Length * Length = Length^2 The Perimeter of a square is: P = Length + Length + Length + Length = 4 * Length
What is the formula for the perimeter of a square and rectangle?
The perimeter of any rectangle is [ 2 x (length + width) ]. Since the length and width of a square are equal, the perimeter of a square is also [ 2 x (side + side) ] = (4 x side).
How do you find diagonal of rectangle when perimeter and width are known?
Length = (1/2 of perimeter) minus (Width) Diagonal = square root of [ (Length)2 + (Width)2 ]
What is the perimeter of a square that has an area of 81 meters square?
36, area is equal to length X width, perimeter is equal to 2(length)+2(width) in a square length is equal to width, so we take the square root of the area to find that both are 9, which means the perimeter is 9 X 4, 36.
The plans for a shed call for a floor with a perimeter of 282ft the length is twice the width what is the width and the length?
47' x 94'
How do you get the area and perimeter of a square?
You multiply length times width
When people say perimeter is the length times width do they mean the whole shape?
If people say that "perimeter is the length times width" stop listening to them. They don't know what they are talking about.Length times width is the area, not the perimeter. For a square or rectangle, the perimeter is double the sum of the length and the width.
How do you find the perimeter and the area of a square?
The perimeter is found by adding the length of each side. The area is found by multiplying the length of the square by the width.
How can you get the width when you have the perimeter and the length?
If the shape is a rectangle, then Perimeter = 2(Length + Width) So Width = Perimeter/2 - Length
