The width reduces as the length increases. The changes shape of the curve is a part of a [rectangular] hyperbola.
The question is not quite clear but let the width be x:- So: 3x+2 = 20 and so x = 6 Area of rectangle then is: 6 times 20 - 120 square feet
width=9 length=18
Divide the area by the length of the rectangle
Length = 4, Width = 2
length times width
The width decrease according to the inverse relationship, W = 300/Length
The area of a rectangle is calculated by multiplying its length by its width (Area = Length × Width). When the length changes, the product of the length and width also changes, resulting in a different area. If the width remains constant and the length increases or decreases, the overall area will increase or decrease accordingly. Thus, any change in length directly affects the rectangle's area.
The width of the rectangle will decrease as the length increases .
If the length of a rectangle increases while maintaining a constant area of 300 square feet, the width must decrease to compensate. The relationship between area, length, and width is given by the formula Area = Length × Width. Therefore, if the length increases, the width must decrease proportionally to ensure that the product remains 300 square feet. This inverse relationship allows the area to stay constant despite changes in length and width.
The area of a rectangle is directly related to its length and width, calculated using the formula Area = Length × Width. As either the length or width increases while the other remains constant, the area increases proportionally. Conversely, if either dimension decreases, the area diminishes. Thus, there is a direct multiplicative relationship between the length, width, and area of the rectangle.
If you increase the rectangle's length by a value, its perimeter increases by twice that value. If you increase the rectangle's width by a value, its perimeter increases by twice that value. (A rectangle is defined by its length and width, and opposite sides of a rectangle are the same length. The lines always meet at their endpoints at 90° angles.)
The length of the rectangle is expressed as ( 2x + 4 ). This means that the length depends on the value of ( x ). To determine the actual length, you would need to substitute a specific value for ( x ). Without that, the length remains as ( 2x + 4 ).
When both the length and width of an original rectangle are doubled, the area increases by a factor of four. This is because the area of a rectangle is calculated by multiplying its length by its width. If the original dimensions are ( l ) (length) and ( w ) (width), then the new area becomes ( (2l) \times (2w) = 4lw ), which is four times the original area.
The perimeter of a rectangle is given by the formula P = 2(l + w). It is clear that as the length, l, increases, the perimeter, P, increases, as well. We say, therefore, that P is directly proportional to l. If l is the length and b is width of a rectangle then, the perimeter P of the rectangle is 2(l + b) units. P = 2(l + b) P = 2l + 2b If have b as a constant then, 2b will be a constant. Now l is the varying quantity. Say 2b = K P = 2l +K Perimeter changes if the length of the rectangle changes. In particular, if the length increases the perimeter of the rectangle increases. Similarly, if the length decreases the perimeter also decreases. So, the perimeter is directly proportional to the length of the rectangle. Source: www.icoachmath.com In the most simplest explanation, the sum of both lengths, and both widths of the rectangle, IS the perimeter. So obviously the perimeter is directly proportionate to its length (and its width).
If the length is tripled but the width remains unchanged, then the area is tripled.
Isotonic is the word you're looking for. Isotonic means the tension remains the same, but the length can change. Isometric means the length remains the same, but the tension can change.
The length of the rectangle is 18cm. The width of the rectangle is 9cm.