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

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

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`