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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.
How do you figure out the area of a rectangle?
Area = length x width
How do you find the length of a rectangle given the width and area?
the area of a rectangle = length x widthwe can rearrange this to give uslength of a rectangle = area/ width
What is the expression to find the area of rectangle?
Area=Length X Width
The area of the rectangle is 126 cm2 if the width is 9 cm what is the length?
126 / 9 = 14cmRemember:Area = Length x WidthWhich can be written as...Length = Area / WidthOr...Width = Area / Length
How do you you get the length if you have the area and the width?
Area = length x width Length = area/width
How do you find the area and perimeter of a rectangle?
Perimeter: Add the length of the four sides. Area: Multiply length x width.
How do you find the perimeter of a rectangle with only the width or length and the area given?
It not possible you nit witt that is not true length x width = area If you know length and area, solve width width = area / length then 2 x length + 2 x width = perimeter
How do you find the height of a box given the width depth and surface area?
divide surface area by width Sorry It is a little more complicated than that. Surface area = (2 X length X width) + (2 X length X height) + (2 X width X height) Solve for height Surface area - (2 X length X width) = 2height(length + width) (Surface area - (2 X length X width))/2(length + width) = height
How does length and width relate to area?
area of a rectangle = length x width
What is the surface area of the roman Colosseum?
The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.The length of the Colosseum is 620 ft. The width of the Colosseum is 513 ft. Length x width = area. Do the math.
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
The area of a rectangular patio is 900ft2 The patio's length is twice its width Find the dimensions of the patio?
AREA = LENGTH x WIDTH LENGTH = 2 X WIDTH AREA = 2 x WIDTH X WIDTH = 900 900/2 = WIDTH X WIDTH 450 = WIDTH X WIDTH = WIDTH SQUARED WIDTH = SQUARE ROOT (450) = 21.21 FEET LENGTH = 42.42 FEET
What is the area of a rectangle that has a length of 28 and a width of 358?
Area = length x width Area = 28 x 358 Area = 10,024
What is the length if the width is 4.5 and the area is 40.95?
Area = Length x Width if Width = 4.5, and Area = 40.95, then 40.95 / 4.5 = Length Length = 9.1
How do you measure cm2?
For a rectangle, length X width = area. Measure the length in cm. Measure the width in cm. Multiply the length X the width to get the area in cm2.
What is the area of a desk?
You need to know the length and width of the desk before you can determine the area. Multiply the length by the width to get your answer (length x width = area).
