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a. Expression:  6² + 12 + 24; Area = 72 in²

b. length = 9 inches; width = 8 inches

Step-by-step explanation:

Using the diagram and information given, since the green area represents a square, than we know that all four sides have to be equal.  We also know that the white and blue shapes are rectangles which means the top and bottom are equal and the opposite sides are equal.  This means that the top of the white rectangle/bottom of the green square in 6 inches.  With one side of the square 6 inches in length, all sides must be 6 inches in length.  The blue rectangle has a side that is equal to the sum of the side of the square (6in) and the white rectangle (2in) make it: 6 + 2 = 8in.  

The formula for area = length x width.  The area of the blue rectangle = 24 in², so we can solve for the missing length:

A = l x w or 24 = 8x so x = 3 in

Given that the square has a side of 6in, the white rectangle has l = 6in and w = 2in and the blue rectangle has an area of 24, the expression is:

6² + 12 + 24 or 72 in²

The total dimensions of the figure are 6 + 2 = 8inches width and 6 + 3 = 9 inches length.

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step-by-step explanation:

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~courtney

step-by-step explanation:

the shape,the size and the distance