the length of a rectangle is 6 meters more than its width. if the area of the rectangle is 135 square meters, find its dimensions, PLEASE explain and show steps

length 15 width 9

Step-by-step explanation:

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

A = length * width

135 = (w + 6) * w

Now we can solve for w after using the distributive property and factoring:

135 = (w + 6) * w

135 = w^2 + 6w

0 = w^2 + 6w - 135

This factors to:

0 = (w + 15) (w -9)

w = -15 OR w = 9

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