The length of a rectangle is three more than it’s width. the perimeter is 42 inches. write an equation to find the length and width. is the correct answer w= 9 in and l= 12in

Width = 9 inches , length = 12 inches.

Step-by-step explanation:

Let the width = x inches, then its length x+3 inches.

Perimeter = 2x + 2(x + 3) inches so

2x + 2(x + 3) = 42

4x + 6 = 42

4x = 36

x = 36/4 = 9

So the width is 9 in and length = 9 + 3 = 12 inches.

You are correct.

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