If you're struggling to find all those unknowns surrounding rectangles, you're in the right place. Length and width of rectangle given area calculator will answer at least part of your questions. You should provide the area and perimeter. Read on to dig deeper into the topic and learn how to find the length and width of a rectangle given area even without a calculator!
Let's solve it step by step. P = perimeter, We know, that A (area) = L × W Let's determine W from the first equation. W=P2−LW=\frac{P}{2-L}W=2−LP And now let's use that in the second equation: A=L×P2−LA=L\times\frac{P}{2-L}A=L×2−LP Which we can also express as: L2−L×P2+A=0L^2 - L\times\frac{P}{2} + A = 0L2−L×2P+A=0 Solving the equation above, we will obtain L. Then, to find W, we can use
To determine the length and width of a rectangle, you need to:
To find the length (L) of a rectangle given area (A) and width (W), you need to:
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:
Perimeter (P) = 2 × length (L) + 2 × width (W) 2. Transform the equation: P - 2 × L = 2 × W 'P/2 - L = W`so that your final formula is: width=perimeter2−lentghwidth =\frac{perimeter}{2} - lentghwidth=2perimeter−lentgh
To determine length and width of rectangle given area and perimeter:
A = length (L) × width (W)
W = P/(2-L)
A = L × P/(2-L) or L2 - L × P/2 + A = 0
A = L × W
To find the width of rectangle given perimeter (16 in) and length (5 in):
P(perimeter) = 2 × L (length) + 2 ×W (width) 2. As we already know the perimeter and length, we can rewrite the equation: 16 in = 2 × 5 in + 2 × W 3. Let's solve this equation:16 in = 10 in + 2 × W / - 10 in 6 in = 2 × W / : 2 W = 3 in 4. The answer is: width of this rectangle is three inches.
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