Expand and simplify expression for the area of an rectangle
Shorter side = x+3
Longer side = 5x-4
just simplify (x+3)(5x-4) using FOIL or whatever method you prefer.
(x + 3)(5x-4)
5x^2 + 11x -12
To find the area of a rectangle, you need to multiply its length by its width. In this case, the "length" is the longer side, which is represented by 5x - 4, and the "width" is the shorter side, represented by x + 3.
To expand the expression, we need to distribute both the length and the width:
Area = (5x - 4)(x + 3)
Using the distributive property, we can multiply each term in the first parentheses by each term in the second parentheses:
Area = 5x(x) + 5x(3) - 4(x) - 4(3)
Simplifying further:
Area = 5x^2 + 15x - 4x - 12
Now, let's combine like terms:
Area = 5x^2 + 11x - 12
So the expanded expression for the area of the rectangle is 5x^2 + 11x - 12.