Question

If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what expression represents the area of the playground. Leave your answer in standard form. Show all work.

Answer 1

Answer:

The expression for area of rectangle in standard form is: $10x^2+3x-27$

Step-by-step explanation:

The area of rectangle is given by:

$Area = Length * Width$

Here, in the question, we are given length and width of the rectangle

Length = 2x-3

Width = 5x+9

The area of the rectangle will be:

$Area = (2x-3)(5x+9)\\= 2x(5x+9)-3(5x+9)\\= 10x^2+18x-15x-27\\= 10x^2+3x-27$

Hence,

The expression for area of rectangle in standard form is: $10x^2+3x-27$