Length and Width of a Rectangle Given Area Calculator

To find the length (L) of a rectangle given area (A) and width (W), you need to: Know the equation for a rectangle area is A = L × W. Determine L from that previous equation. L = A/W. To sum up: to find the length of a rectangle, you need to divide its area by the known width.

To find the width of a rectangle with a known perimeter and length: Determine the equation for the perimeter: Perimeter (P) = 2 × length (L) + 2 × width (W) Transform the equation: P - 2 × L = 2 × W P/2 - L = W so that your final formula is: width = perimeter / 2 - length That way, you can quickly determine the rectangle's width with the perimeter and length given.

To determine the length and width of a rectangle given area and perimeter: State the equations for both area (A) and perimeter (P). A = length (L) × width (W) P = 2L + 2W From the first equation, we can also express W as: W = P/(2-L) Putting this into the second equation will look like this: A = L × P/(2-L), or: L2 - L × P/2 + A = 0 Solving this equation, we will know L - length. Then we can easily determine width as well, knowing that: A = L × W W = A/L

To find the width of a rectangle given perimeter (16 in) and length (5 in): Determine the equation for perimeter: P(perimeter) = 2 × L (length) + 2 × W (width) As we already know the perimeter and length, we can rewrite the equation: 16 in = 2 × 5 in + 2 × W Let's solve this equation: 16 in = 10 in + 2 × W 6 in = 2 × W W = 3 in The answer is: width of this rectangle is three inches.