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What is the length and width of a rectangle with the perimeter of 60 and an area of 224?
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.
What else can I help you with?
What is the area and perimeter of a shaded rectangle?
The area is the length times the width. The perimeter is two times the length plus two times the width.
Show a rectangle that has permeter and area?
The area is the length times the width. The perimeter is two times the length plus two times the width.
He length of a rectangle is three times its width. If the area of the rectangle is 192 m2 find its perimeter.?
64 meters
How do you draw a rectangle with a perimeter of 12 units and an area equalling 8?
The rectangle would have a width of 2 and a length of 4.
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 length of a rectangle is twice its width If the perimeter of the rectangle is 54y find its area?
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.
What measurements do you need to find the area and perimeter of a rectangle how would you use these measurements to find the area and perimeter of a rectangle?
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 length of a rectangle is 5 more then the width. Find the perimeter and the area of the rectangle
How is perimeter and area related in a 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)
What is the area of a rectangle that its perimeter is 39?
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.
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 to get the deminsions of a 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).
The perimeter of a rectangle is 72m the width of the rectangle is 16m what is the area of the rectangle?
To find the area of a rectangle, you need to know the formula: Area = length x width. Given that the perimeter is 72m and the width is 16m, we can calculate the length by using the formula for perimeter of a rectangle: Perimeter = 2(length + width). Substituting the values we have, 72 = 2(length + 16), which simplifies to length + 16 = 36. Therefore, the length of the rectangle is 20m. Finally, the area of the rectangle is 20m x 16m = 320 square meters.
Area and perimeter of a rectangle?
Area is length times width, perimeter is twice the sum of length and breadth.
What is the area and perimeter of a shaded rectangle?
The area is the length times the width. The perimeter is two times the length plus two times the width.
How do you find the perimeter of a rectangle if you have the length and the area?
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.
A rectangle has a length of 5.50 and a width of 12.0 What are the perimeter and area of a rectangle?
perimeter, area =35.0,66.0 , Travis Garner Rocks!
