# Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 35

$(9375+200x+x^2)$ yd $^2$

#### Work Step by Step

The new length of the field will be 125+x. The new width of the fields will be 75+x. The new area of the field will be $(125+x)(75+x)\longrightarrow$ Use the FOIL method to multiply the binomials. =$9375+125x+75x+x^2\longrightarrow$ Combine like terms. =$9375+200x+x^2$

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