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Answer :
The area of the rectangle is 2000 square inches.
Given that the length of a rectangle is five times its width, if the perimeter of the rectangle is 120 inch, the following calculation must be performed to find its area:
- 5X + X = 120
- 6X = 120
- X = 120/6
- X = 20
- 100 x 20 = Area
- 2000 = Area
Therefore, the area of the rectangle is 2000 square inches.
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Final answer:
The width of the rectangle is 10 inches and the length is 50 inches. The area of the rectangle is 500 square inches.
Explanation:
Let's denote the width of the rectangle as w. Since the length of the rectangle is five times its width, we can write the length as 5w. The formula for the perimeter of a rectangle is P = 2(l + w), so we can set up the equation 120 = 2(5w + w). Solving this equation, we find that the width is 10 inches and the length is 50 inches.
To find the area of the rectangle, we use the formula A = l * w. Plugging in the values for length and width, we get A = 50 * 10 = 500 square inches. Therefore, the area of the rectangle is 500 square inches.
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