Can the perimeter of a rectangle be negative?

If the perimeter has to decrease B has to move left or down. in both the cases, the area will also decrease, so the rate of change for both perimeter and area will be negative only.

At what rate is the area of the rectangle changing?

Originally Answered: What rate is the area of a rectangle changing it its length is 15m and increasing at 3ms-1 while its width is 6m and increasing at 2ms-1? So, rate of change in area is 144–90 or 54sqm per second or 54/90 * 100 \% or 60\% per second.

How do you find the rate of change of the perimeter of a square?

To solve this problem you are dealing with perimeter (P) and area (A) and time (t) is implied. So the change in perimeter with respect to time is dP/dt and the change in area with respect to time is dA/dt.

Can a perimeter be negative?

No. A magnitude cannot be negative because it is said to be positive or equal to zero between every points (elements). That is a Metric Space, on its very first rule. This inspires the Norm (metric on norm spaces).

Can rate of change of area be negative?

Rates of change can be positive or negative. This corresponds to an increase or decrease in the y -value between the two data points.

How do you differentiate perimeter from area?

What is the difference between the perimeter and area of a shape? The perimeter is the sum of all the side lengths of a shape. The area is the amount of two dimensional space a shape occupies. Above is the graph of a square yard.

Can rectangle dimensions be negative?

Find the dimensions of a rectangle with an area of 400. Width x ft. The width of a rectangle can’t be negative so only the positive value makes sense.

Why can rate of change be negative?

Note that a decrease is expressed by a negative change or “negative increase.” A rate of change is negative when the output decreases as the input increases or when the output increases as the input decreases.