An architect is designing a new building. He makes a model of the building such that the area of the rectangular base is 12x2 - 11x - 5 and the length is 3x + 1. The completed model will be in the shape of a rectangular prism where the volume is given by the polynomial 24x3 - 58x2 + 23x + 15.
Determine the width and height of the model in terms of x. Fill in the values of m and b to complete the expressions. Type the width on the first line and the height on the second line.
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Answer:
The answer is 4x-5
Step-by-step explanation:
The general formula for the area of a rectangle is, A = lw where l represents the length and w represents the width. So the width is found by dividing the area by the length.
Find the ratio of the area and the length. Then simplify the expression by factoring the numerator and canceling common factors.
12x² - 11x - 5/3x + 1 = (4x - 5)(3x + 1)/ 3x + 1
= 4x - 5
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