Question

The dimensions of a rectangle are 5x+3 and 4x - 6. Write an expression that represents the area of the rectangle.

Answer 1

Area of a rectangle is given by the formula;

`A=l* w`

From the question:

l=5x + 3 and w=4x-6

substitute the values into the formula

`A=(5x+3)(4x-6)`

we can open the parenthesis

`A=\text{ 5x(4x-6)+3(4x-6)}`
`A=20x^2\text{ -30x + 12x - 18}`
`A=20x^2-18x-18`

Hence, the area of the rectangle can be represented by the expression above