Question

Nakeisha has 42 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 110 square meters. Solve for the dimensions (length and width) of the field.

Answer 1

Answer:

length=11 width=10

Step-by-step explanation:

Create two equations with length(l) and breath(w) as our unknowns

2l+2w=42

2l=42-2w

2l/2=(42-2w)/2

l=21-w(equation 1)

lxw=110

lw=110

Substitute equation one into equation two

(21-w)w=110

21w-w²=110

Write your equations in standard quadratic form

0=w²-21w+110

solve this as a quadriatic tri nominal

0=(w-10)(w-11)

0=w-10. or 0=w-11

10=W. 11=L