(a) Find a function that models the cross-sectional area of the gutter in terms of x.

Okie Since i dont know how the bent is done, Its either curvy or in right angled,I am assuming that the bent is done in right angle

STEP1: EXPRESSION FOR CROSS SECTIONAL AREA

x --> The inches by which the sides are bent

Cross Sectional Area = x (44-2x) or 44x-2x^2

STEP 2; FIND THE VALUE OF X USING PARABOLA EXPRESSION

Now we have to find x. To find that lets imagine a parabola from which x can be found as

x=(-b)/2a ----> in our expression above we have a=-2; b=44

x=(-44)/(2*-2) = 11

STEP 3; SUB THE VALUE OF X to AREA FUNCTION

Now that we know x we can find the area by substituting the value

Area = (x)(44-2x) ==>(11)(44-22)==>(11)(22)==> 242 square inches

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