Answer:
4w² + 82w + 400
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:
ax² + bx + c
The moat has width of w inch. Therefore:
combined width of castle and moat = 16 in + w in + w in = 16 + 2w in
combined length of castle and moat = 25 in + w in + w in = 25 + 2w in
The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400
