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Given:
Width of the rectangle = 5 units
Perimeter of the rectangle = 120 unitsLet’s assume the length of the rectangle is “x” times its width.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 × (Length + Width)Putting in the given values, we have:
120 = 2 × (x * 5 + 5)Simplifying, we get:
120 = 2 × (5x + 5)
120 = 10x + 10
10x = 120 – 10
10x = 110
x = 110/10
x = 11Therefore, the length of the rectangle is 11 times its width.
Now, let’s calculate the length:
Length = x * Width Length = 11 * 5 Length = 55 unitsTo find the area of the rectangle, we use the formula:
Area = Length × WidthPutting in the values, we get:
Area = 55 × 5 Area = 275 square unitsHence, the area of the rectangle is 275 square units.