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 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 decrease according to the inverse relationship, W = 300/Length
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.)
If the length is tripled but the width remains unchanged, then the area is tripled.
This needs more information. Without some other factor, like a change in area, the width doesn't have to increase at all.
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 decrease according to the inverse relationship, W = 300/Length
absolutely no. length and width are independent parameters .
The width reduces as the length increases. The changes shape of the curve is a part of a [rectangular] hyperbola.
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.)
If the length is tripled but the width remains unchanged, then the area is tripled.
This needs more information. Without some other factor, like a change in area, the width doesn't have to increase at all.
All four sides must be equal so you would have to either increase the width until it equals the length, or decrease the length until it equals the width.
If you increase the length then the width must decrease by the same amount if the perimeter is to remain the same.
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.
You draw a rectangle that has a diagonal which length is equal to twice the length of the side of the square.
The length of the rectangle is 18cm. The width of the rectangle is 9cm.