Question

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?

Answer 1

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

Answer 2

• A = 6x³ - 13x² - 28x

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