The length of the rectangular slab = L
The width of the rectangular slab = W
The formula for perimeter in terms of the length and width is 2L + 2W = 60
The area =L*W = 224
So L=224/W
We substitute that into the formula for perimeter and we have
P=2(224/w)+2w=60
This can be simplified to
w2-30w+224=0 so we can solve it and find w.
Fortunately, it factors or else we would need to use the quadratic equation.
(w-14)(w-16)=0. Now we use the zero product rule and we find
the solutions are 14 and 16. This means the rectangle is 14x16. We need to check the answer.
We note that 14x16=224 so that is the desired area and 14x2+16x2=28+32=60 which is the desired perimeter.
The area is the length times the width. The perimeter is two times the length plus two times the width.
The area is the length times the width. The perimeter is two times the length plus two times the width.
64 meters
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.
28
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.
you need length and width length multiply width = area length + length + width + width = perimeter
the length of a rectangle is 5 more then the width. Find the perimeter and the area of the rectangle
The perimeter of a rectangle is the distance around the rectangle. The area of a rectangle is the space inside the rectangle. To calculate either one you need the length and the width of the rectangle. To calculate the area multiply the length times the width. To calculate the perimeter add the length+width+length+width (that is the distance all the way around)
156 It is impossible to calculate the area of a rectangle from its perimeter if no other dimension is known. The area of a rectangle is the product of its length and width, and the perimeter is twice the sum of its length and width.
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)
The dimensions of a rectangle are the length and the width. With these two measurements , the area of the rectangle can be calculated : Area = length x width. The perimeter can also be found : Perimeter = (2 x length) + (2 x width).
Area is length times width, perimeter is twice the sum of length and breadth.
The area is the length times the width. The perimeter is two times the length plus two times the width.
Area = Length*Width so Width = Area/Length. Therefore the Width can be calculated. Then, perimeter = 2*(Length + Width) and everything on the right hand side of the equation is known so the perimeter can be calculated.
perimeter, area =35.0,66.0 , Travis Garner Rocks!
18cm is the area and perimeter. the width is 3cm.