The dimensions of the barn wall are found by setting up and solving a quadratic equation involving its area and the relationship between its length and width. Discarding the nonsensical negative solution, we find that the width of the wall is 5 feet and the length is 11 feet.
Given that the area of the rectangular wall is 55 sq. ft. and the length is 6 ft. longer than the width, we can assign the width as x and the length as x + 6. Therefore, length multiplies width equals to the area of the rectangle, we then have the equation: x * (x + 6) = 55.
After rearranging the equation, we obtain: x² + 6x - 55 = 0. This is a quadratic equation that we can solve using the quadratic formula or by factoring if possible. Factoring results in (x - 5)(x + 11) = 0. Setting each factor equal to zero gives the possible solutions x = 5 and x = -11.
However, since the dimensions of a physical object (in this case, width of the barn wall) cannot be negative, we discard x = -11. Therefore, the barn wall has a width of 5 feet and a length of 5 + 6 = 11 feet.
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Answer: that the solution is true
Step-by-step explanation: if you get something like 10=10 it’s true but if you get like 4= 7 it’s false
Answer:
Step-by-step explanation:
The value absolute is the function defined by if is a positive number and if is a negative number.