The length of a rectangular courtyard can be represented by (3x+5) and the width by (2x-3). Create an expression that represent the area of the courtyard. A= l times w

By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:

A = 6x^2 + x - 15

We know that the area of a rectangle of width W and length L is given by:

A = W*L

Here we know that:

L = 3x + 5

W = 2x - 3

Now we can just replace these in the area equation to get:

A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15

A = 6x^2 + x - 15

This is the expression that represents the area of the courtyard.

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Given that,

Length of a rectangular courtyard = (3x+5)

Width of a rectangular courtyard = (2x-3)

To find,

The expression for area of the courtyard.

Solution,

The area of the rectangular shaped object is given by :

A = lb

Substituting all the values,

A = (3x+5) (2-3)

= (3x)(2)-(3x)(3)+(5)(2)-(5)(3)

= 6x-9x+10-15

= -3x-5

So, the area of the courtyard is (-3x-5).

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