The area of the rectangle is [tex]16p^{2} -9[/tex].
What is a rectangle?
A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The side length of square = 4p
The length of rectangle, l = 4p+3
The width of rectangle, w = 49-3
The formula of area of rectangle is
[tex]A=lw[/tex]
⇒ [tex]A=(4p+3)(4p-3)[/tex] [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]
⇒ [tex]A=(4p)^{2} -3^{2}[/tex]
⇒ [tex]A=16p^{2} -9[/tex]
Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].
Learn more about the rectangles here
brainly.com/question/12019874
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