The perimeter of a rectangle is 90 centimeters. If the length is double the size of the width, what is the area?
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To find the area of a rectangle, we need to know the length and width of the rectangle. In this case, we are given that the perimeter is 90 centimeters, and the length is double the size of the width.
Let's represent the width as "w" centimeters. Since the length is double the size of the width, we can represent the length as "2w" centimeters.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
Since we know that the perimeter is 90 centimeters, we can set up the equation:
90 = 2 * (2w + w)
Now, we can solve for the value of "w":
90 = 2 * (3w)
90 = 6w
w = 90 / 6
w = 15
Now that we know the width is 15 centimeters, we can substitute this value into the formula to find the length:
Length = 2w = 2 * 15 = 30
So, the width is 15 centimeters and the length is 30 centimeters.
To find the area of the rectangle, we can use the formula:
Area = length * width
Therefore, the area of the rectangle is:
Area = 30 * 15 = 450 square centimeters.
So, the area of the rectangle is 450 square centimeters.