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63 ft^2

Step-by-step explanation:

The hole is the rectangle  minus the area of the triangle.

The area of the rectangle is

A =l*w

A = 12*6

   =72

The area of the triangle is

A = 1/2 b*h

  = 1/2 (3*6)

  = 9

A  rectangle - A triangle = A hole

72 - 9

63

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

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