Question

In: Advanced Math

A rectangle has a length of 10 inches and a width of 6 inches. If the length is increased by x inches and the width increased

For the following exercises, use the written statements to construct a polynomial function that represents the required information.

A rectangle has a length of 10 inches and a width of 6 inches. If the length is increased by x inches and the width increased by twice that amount, express the area of the rectangle as a function of x.

 

 

Solutions

Expert Solution

Consider the length of a rectangle is 10 inches and width is 6 inches.

Length is changed to l = 10 + x and width is changed to l = 6 + 2x.

e(m) = 3 + 2m

 

Express the area of the rectangle,

A = l × w

    = (10 + x)(6 + 2x)

    = 60 + 20x + 6x + 2x2

   = 2x2 + 26x + 60

 

Hence, the expression is A(x) = 2x2 + 26x + 60.

Hence, the expression is A(x) = 2x2 + 26x + 60.

Junaid answered 10 months ago
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