Final answer:
To find the area of the new fence, multiply the length and width expressions and simplify.
Step-by-step explanation:
The area of a rectangle can be found by multiplying its length and width. In this case, the length is given by the expression 2x+5 and the width is given by the expression 5x+1. To find the proposed area of the new fence, we multiply these two expressions together: (2x+5)(5x+1). We can find the area by expanding this expression using the distributive property: 10x^2 + 2x + 25x + 5. Simplifying further, we get the equation for the proposed area of the new fence: 10x^2 + 27x + 5.
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