A manufacturer of rectangular tarpaulins uses the following combined to calculate the total area of different sizes of tarpaulins, where x varies according to the particular product line. h(x)=x^2+10x+21 What two functions could represent length and width for given values of x based on the combined function? f(x)=x+7 and g(x)=x+3 f(x)=x-7 and g(x)=x-1 f(x)=x^2+7 and g(x)=x^3+3 f(x)=x-7 and g(x)=x-3

To determine which two functions could represent the length and width for given values of x based on the combined function $h(x)=x^{2}+10x+21$, we need to factorize the quadratic expression.<br /><br />The quadratic expression $x^{2}+10x+21$ can be factored as $(x+7)(x+3)$. Therefore, the two functions that could represent the length and width are $f(x)=x+7$ and $g(x)=x+3$.<br /><br />So, the correct answer is:<br />$f(x)=x+7$ and $g(x)=x+3$