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Asked by Jewel Last Modified
Answer Perimeter Calculation for Rectangle with Given Area
Given Information:
Step 1: Determine the Dimensions
To calculate the perimeter of a rectangle, we need to know its length and width. We can find these dimensions using the area provided.
Step 2: Factorize the Area
Factorize the given quadratic expression 25x2−35x+1225x2−35x+12 to find its factors, which represent the possible lengths and widths of the rectangle.
Step 3: Use Factorization to Find Dimensions
Once the quadratic expression is factorized, identify the pairs of factors that, when multiplied, give the area of the rectangle. These pairs represent possible lengths and widths.
Step 4: Calculate Perimeter
With the length and width of the rectangle known, calculate the perimeter using the formula:
Perimeter=2×(Length+Width)Perimeter=2×(Length+Width)
Step 5: Finalize
Plug in the values of length and width into the perimeter formula to obtain the final result.
Let's proceed with these steps to find the perimeter.
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