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Ahat [919]
3 years ago
8

Please help 7th Grade Math​

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

The expression of the area of rectangle ABCD as simplified polynomial will  be:

A=16x^2-8x

Hence, the 2nd option is correct.

Step-by-step explanation:

As we know that the area of a rectangle can be obtained by multiplying the length by the width.

i.e.

A=l\times w

Given

The length of a rectangle ABCD = l = (x+5) + (3x) + (4x-9)

The width of a rectangle = w = 2x

so the expression of the area of rectangle ABCD as simplified polynomial will  be:

A=l\times w

A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right]

   =\left(\left(x+5\right)+\left(3x\right)+\left(4x-9\right)\right)\left(2x\right)

   =\left(x+5+3x+4x-9\right)\times \:2x

   =2x\left(8x-4\right)

    =16x^2-8x

Therefore, the expression of the area of rectangle ABCD as simplified polynomial will  be:

A=16x^2-8x

Hence, the 2nd option is correct.

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