Lana is planting a garden that is going to have an area of 432 square feet. She wants the length of the garden to be 3 times the width of the garden. What is the width of the garden?

108 feet

Step-by-step explanation:

Area of a rectangle = l x w

432 = 3x + x

432 = 4x

432 /4 = x: x = 108 = width

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions