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A garden box has a perimeter of 28 , feet. If the length is 9 feet, what is the area of the garden

Ask by Watson Fuentes. in the United States
Feb 27,2025

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The garden's area is 45 square feet.

Solución

The formula for the perimeter of a rectangle is P = 2 × (length + width). We know the perimeter (P) is 28 feet, and the length is 9 feet. Plugging in these values: 28 = 2 × (9 + width) Divide both sides by 2: 14 = 9 + width Subtract 9 from both sides: width = 14 - 9 = 5 feet Now, the area of a rectangle is given by: Area = length × width = 9 × 5 = 45 square feet Thus, the area of the garden is 45 square feet.

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Mind Expander

To find the area of the garden box, we first need to determine its width. The formula for the perimeter (P) of a rectangle is P = 2(length + width). Given that the perimeter is 28 feet and the length is 9 feet, we can set up the equation: 28 = 2(9 + width) Now, divide both sides by 2: 14 = 9 + width Subtract 9 from both sides to find the width: width = 14 - 9 = 5 feet Now that we have both the length and width, we can find the area (A) using the formula A = length × width: A = 9 feet × 5 feet = 45 square feet So, the area of the garden is 45 square feet!

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