How do you do this problem ?

Write the perimeter of the rectangle as a simplified polynomial. Then factor this polynomial completely.

7x + 90

x2 + 12x

(x + 10)(x + 9)

2(x + 10)(x + 9)

2(x + 12)(x + 7)

(2x + 10)(x + 9)

Comments

  • Hi,

    Combining x² + 12 x and 7x + 90 gives an area of:

    x² + 12 x and 7x + 90 = x² + 12 x + 7x + 90 = x² + 19x + 90

    Since area = length x width, then x² + 19x + 90 = (x + 10)(x+ 9)

    Since perimeter = 2(length)(width), then

    perimeter = 2(x + 10)(x+ 9)

    That is answer b. I hope that helps!! :-)

  • perimeter=2( x2 + 12x + 7x + 90)

    =2(x2 + 19x + 90)

    =2(x + 10)(x + 9)

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