What is the answer of a rectangle has a length of 2x+7 and a width of 3x+8y

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15-11-2018
Mathematics

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What is the answer of a rectangle has a length of 2x+7 and a width of 3x+8y

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iiMGii iiMGii · Answer 1 · 2018-11-15T11:10:42+01:00

STEP-BY-STEP SOLUTION:

If you are asking for the perimeter of the rectangle then the answer is as follows:

Let P = Perimeter of rectangle

P = 2 ( 2x + 7 ) + 2 ( 3x + 8y )

P = 4x + 14 + 6x + 16y

Expanded form -

P = 10x + 14 + 16y

Factorised form +

P = 2 ( 5x + 7 + 8y )

If you are asking for the area of the rectangle then the answer is as follows:

Let A = Area of rectangle

A = ( 2x + 7 ) ( 3x + 8y )

Expanded form -

A = 6x^2 + 16xy + 21x + 56y

Factorised form -

A = 2x ( 3x + 8y ) + 7 ( 3x + 8y )

A = ( 3x + 8y ) ( 2x + 7 )

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