Which formula shows how the length of the rectangle can be determined by the width and perimeter?
1 answer:
Answer:
(P/2) - W = L
Step-by-step explanation:
P = Perimeter
W = Width
L = Length
Formula of Perimeter
=> P = 2L + 2W
Now, let's simply that formula to make L alone.
=> P/2 = 2L/2 + 2W/2
=> (P/2) = L + W
=> (P/2) - W = L + W - W
=> Length = (P/2) - W
For example, let's take the perimeter of a rectangle is 14cm. Its width is 2cm. Length is L
Using the formula,
=> (P/2) - W = L
=> (14/2) - 2 = L
=> 7 - 2 = L
=> L = 5
Let's plug in our answer.
=> 2(5) + 2(2) = 14
=> 10 + 4 = 14
=> 14 = 14
So, our formula is correct.
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