Given that a rectangle has a length of 5 2 x + 10 with a width of 5 2 x + 5, which expression represents the area of the rectangle? a) 25x2 2 + 75x 2 + 50 b) 25x2 4 + 75x 4 + 50 c) 25x2 4 + 75x 2 + 50 d) 25x2 2 + 75x 4 + 50

Option c is correct

Step-by-step explanation:

Area of the rectangle (A) is given by:

              ....[1]

where,

l is the length and w is the width of the rectangle.

As per the statement:

Given that a rectangle has a length of with a width of

⇒l =

and w =  

Substitute in [1] we have;

⇒

Combine like terms we have;

therefore, the expression represents the area of the rectangle is,  

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step-by-step explanation:

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