Asquare is altered so that one dimension is increased by 5 meters and the other dimension is increased by 3 meters. if the area of the resulting rectangle is 99 square meters, find the area of the original square.

The area of the original square is

Step-by-step explanation:

Let

x------> the length side of the original square

we know that

Solve the quadratic equation by graphing

The solution is

see the attached figure

The area of the original square is

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