The perimeter of the rectangle below is equal to 30.
What is the area of the rectangle?
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The perimeter of the rectangle below is equal to 30.
What is the area of the rectangle?
We use the formula to calculate the area of a rectangle: length times width:
We replace the existing data:
That is, the information that the perimeter of the rectangle is equal to 30 is unnecessary, since all the data to calculate the area already exist and it is not necessary to calculate the other sides.
50
Look at the rectangle ABCD below.
Side AB is 6 cm long and side BC is 4 cm long.
What is the area of the rectangle?
The diagram already shows both dimensions: length = 10 and width = 5. Since area only needs length × width, you have everything required! The perimeter is extra information.
For rectangles, it doesn't matter! Whether you call it 10 × 5 or 5 × 10, the area is still 50. Length and width are just labels for the two different sides.
Then you'd need one more piece of information (like one side length) to find the other side. With perimeter alone, there are infinite possible rectangles!
Yes! It's a great way to verify your dimensions are correct. Calculate P = 2l + 2w and see if it matches any given perimeter value.
Area measures the space inside (length × width), while perimeter measures the distance around the outside (2l + 2w). Think: area fills, perimeter surrounds!
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