LINEAR AND NON-LINEAR SYSTEMS OF EQUATIONS

Question

The Botany Club wants to fence off a new garden. The perimeter of the garden is 25 feet. The length of the garden is twice the width. What are the dimensions of the garden?

a) Write a system of equations.

b) Solve the system from part a).

c) What are the dimensions of the garden? Answer the question in sentence form.

Answer 1

L=2W

P=25 = 2(L+W) = 2(2W+W) =2(3W) = 6W

6W = 25

W= 25/6 = 4 1/6 feet

L = 8 1/3 feet

the dimensions are four and one-sixth feet by eight and one-third feet