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A rectangular garden has a length that is modeled by the expression2X -7 and a width of 3X^2+4x. What is the area of the garden?

Respuesta :

mhanifa

Answer:

  • A = 6x³ - 13x² - 28x

Step-by-step explanation:

Area of rectangle:

  • A = lw

Given:

  • l = 2x - 7
  • w = 3x² + 4x

The area is:

A = (2x - 7)(3x² + 4x) =

   2x(3x² + 4x) - 7(3x² + 4x) =

   6x³ + 8x² - 21x² - 28x =

   6x³ - 13x² - 28x

Answer:

Area of rectangle = 6 x ³ - 13 x ² + 28

step by step explanation

Given That :-

  • Length of rectangle = 2 x - 7
  • Width of rectangle = 3 x ²+ 4 x

To Find :-

  • Area of rectangle

Formula Used :-

Area of rectangle = Length × Width

Solution : -

Using Formula

Area of rectangle = Length × Width

substitute the values.

Area of rectangle = ( 2 x - 7 ) × ( 3 x ² + 4 )

= 2 x ( 3 x ² + 4 ) - 7 ( 3 x ² + 4 )

= 6 x ³ + 8 x - 21 x ² + 28

= 6 x ³ - 13 x ² + 28

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