The area of a rectangular wall of a barn is 108 square feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.

Answers

Answer 1

Answer: Area = Width x Length
Area = 108
Square root of 108 = 10.4

108/ 9 = 12 ...12 is not 12 larger than 9
108/ 6 = 18 ...18 is 12 larger than 6

108 = 6 x 18

Width = 6
Length = 18

Answer 2

Answer:

Final answer:

To find the length and width of the wall of the barn, set up an equation using the given information. Solve the equation by factoring, and find the values of x and x + 12, which will be the width and length of the wall, respectively. The width of the wall is 6 feet, and the length is 18 feet.

Explanation:

To find the length and width of the wall of the barn, we can use algebra. Let's say the width of the wall is x. According to the problem, the length is 12 feet longer than the width, so the length is x + 12.

The area of a rectangle is found by multiplying the length by the width, so we can set up the equation

x(x + 12) = 108.

Solving this equation will give us the values of x and x + 12, which will be the width and length of the wall, respectively.

The equation is x(x + 12) = 108.

Expanding the equation gives x^2 + 12x = 108.

Rearranging the equation to bring everything to one side gives

x^2 + 12x - 108 = 0.

Factoring the quadratic equation gives (x + 18)(x - 6) = 0.

Setting each factor equal to zero gives x = -18 or x = 6.

Since we can't have a negative width, the width of the wall is 6 feet.

Therefore, the length of the wall is x + 12 = 6 + 12 = 18 feet.

Learn more about Solving equations to find length and width of a rectangular wall here:

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Answers

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Answers

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