The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions

length = 32m, width= 16m

Step-by-step explanation:

l=2w

2(2w+w)=96

2(3w)=96

6w=96,w= 96/6 = 16m

l=2w=2x16=32m

Width is 17, and length is 31

Step-by-step explanation:

The perimeter is all the sides added up.

96 is our perimeter.

We can call the width x, so that the length would be x+14

We have two widths and two lengths, and we can make that into an equation.

2(x)+2(x+14)=96

4x+28=96

4x=68

x=17

So now, we know that the width is 17.

Add 14 to that, and you will get 32.

You can double check this.

17+17=34

31+31=62

34+62=96.

Hope it helped.

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