# If the length of a rectangle is represented by #(5x-3)# and the width is represented by #(2x)#, what is the area of the rectangle in terms of #x#? Please show working.

For this problem, you ought to remember the formula for area of a rectangle is (length • width)

Let A be area, l be length and w be width.

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Area:

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To find the area of the rectangle in terms of ( x ), we multiply the length by the width. Given that the length is ( 5x - 3 ) and the width is ( 2x ), the area ( A ) of the rectangle is ( A = (5x - 3) \times (2x) ). To find the product, we distribute ( 2x ) into ( 5x - 3 ).

( A = 2x \times 5x - 2x \times 3 )

( A = 10x^2 - 6x )

Therefore, the area of the rectangle in terms of ( x ) is ( 10x^2 - 6x ).

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