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What are the dimensions of a rectangle when one side is 3 cm longer than the other side and its area is twice its perimeter?
Let one side be (x+3) and the other side be x:
area = 2(perimeter)
(x+3)*x = 2*2(x+3+x)
x2+3x = 4x+12+4x
x2+3x-8x-12 = 0
x2-5x-12 = 0
Solving the above equation using the quadratic equation formula and a calculator works out to 2 d.p. as:
x = -1.77 or x = 6.77 it must be the latter as dimensions can't be negative.
Therefore the dimensions are 6.77 cm and 9.77 cm
What else can I help you with?
Can the perimeter of a rectanlge be larger than the area?
Yes, the perimeter of a rectangle can be larger than its area. For example, consider a rectangle with dimensions 1 unit by 1 unit, which has a perimeter of 4 units and an area of 1 square unit. As the rectangle's dimensions change, especially when one dimension is much larger than the other, the perimeter can exceed the area even more significantly.
What is the dimensions of a rectangle for the number 32?
It is not possible to answer the question because you have not defined what 32 measures: is it the area of the rectangle, its perimeter, its diagonal or some other property?
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
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 in the shape of a rectangle 50ft long and 25ft wide What is its perimeter?
The rectangle would be shaped like any other rectangle. To find the perimeter, add all four sides together. perimeter = 50ft + 50ft + 25ft + 25ft = 150ft
Can the perimeter of a rectanlge be larger than the area?
Yes, the perimeter of a rectangle can be larger than its area. For example, consider a rectangle with dimensions 1 unit by 1 unit, which has a perimeter of 4 units and an area of 1 square unit. As the rectangle's dimensions change, especially when one dimension is much larger than the other, the perimeter can exceed the area even more significantly.
What is the dimensions of a rectangle for the number 32?
It is not possible to answer the question because you have not defined what 32 measures: is it the area of the rectangle, its perimeter, its diagonal or some other property?
The perimeter of a rectangle is 28 one is six less tha thrice the other what is the dimension of the rectangle?
The dimensions work out as length = 9 and width = 5
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
What are the perimeter dimensions of a 14-acre rectangle?
Your question cannot be answered. An area of 14 acres is equivalent to 609,840 square feet, but a rectangle with that area could be 609,840 feet by 1 foot, or it could be 1089 feet by 560 feet, or many other possible dimensions, each of which would have a different perimeter.
What equals 480 square feet in perimeter?
To find the perimeter of a shape with an area of 480 square feet, you first need to know the shape's dimensions. For example, if you consider a rectangle, the area can be calculated as length multiplied by width (A = length × width). If you take a rectangle with dimensions of 20 feet by 24 feet, the perimeter would be 2(length + width) = 2(20 + 24) = 88 feet. Other shapes will yield different perimeters for the same area depending on their dimensions.
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.
Is length of the rectangle and the perimeter are the same?
No. The length is the measurement of the distance from the bottom to the top of the rectangle, or from one side to the other side. The perimeter is the distance all the way around the rectangle.
What is in the shape of a rectangle 50ft long and 25ft wide What is its perimeter?
The rectangle would be shaped like any other rectangle. To find the perimeter, add all four sides together. perimeter = 50ft + 50ft + 25ft + 25ft = 150ft
What formula expresses the perimeter of a rectangle in terms of its length?
The formula for the perimeter of a rectangle is: p = 2(l + w) In other words, just add all four sides. You can't calculate the perimeter of the rectangle if you know only the length.
For a rectangle with a perimeter 72 to have the largest area what dimensions should it have Enter the smaller value first?
Since the largest area would be obtained by having adjacent sides equal to each other, and since a square is at least technically an equilateral rectangle, divide the perimeter of 72 by 4 to get sides of 18 and an area of 324.
What is the area of a rectangle with a perimeter of 48 and a length of 5?
A rectangle with a perimeter of 48 and 1 side equal to 5 would have its other sides lengths of 5, 19, 19. Such a rectangle would have an area of 95 sq/m. Your question is somewhat strange, as the "length" of a rectangle generally refers to the longer side - in this case the length would be 19 and the width 5.
