The perimeter of a rectangle is given by p=21+2w.fine it's area when it's length (I) is 15cm and its width (w) is 8cm.?
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ChatGPT
Sep 1
Given: Perimeter (p) = 21 + 2w Length (l) = 15 cm Width (w) = 8 cm
We know that the perimeter of a rectangle is given by the formula: Perimeter = 2(length + width)
Substitute the given values into the formula: 21 + 2w = 2(15 + 8) 21 + 2w = 2(23) 21 + 2w = 46 2w = 46 - 21 2w = 25 w = 25/2 w = 12.5 cm
Now, we can calculate the area of the rectangle using the formula: Area = length x width Area = 15 cm x 12.5 cm Area = 187.5 cm²
Therefore, the area of the rectangle is 187.5 cm².
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Google Gemini AI
Sep 1
The given formula for the perimeter of a rectangle is incorrect. The correct formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Using the corrected formula, we can find the perimeter of the rectangle with a length of 15 cm and a width of 8 cm as follows:
``` P = 2(l + w) P = 2(15 cm + 8 cm) P = 2(23 cm) P = 46 cm ```
Therefore, the perimeter of the rectangle is 46 cm.
We can find the area of the rectangle by multiplying its length and width. Using the given values, we get:
``` Area = l - w Area = 15 cm - 8 cm Area = 120 cm² ```
Therefore, the area of the rectangle is 120 square centimeters.