Question

a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle

Answer 1

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here,                             x^2 + 8x + 15

length of rectangle  = ----------------------

                                            x + 3

Use synthetic division to perform the above.  The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3      /  1        8        15

                    -3        -15

        -------------------------

            1         5        0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic.  This factor, representing the length of the rectangle, is 1x + 5.

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