Question

Rectangular blanket has a width of 3x and a length of 4x-3. What is an expanded expression for the area of the blanket? What is a simplified expression for the perimeter of the blanket?

Answer 1

Expression for area is `12x^2-9x` and that for perimeter is `14x-6`.

Explanation:

If width of a rectangle is `w` and length is `l`, its area is `wxxl` and perimeter is `2xx(w+l)`.

Here, width of rectangular blanket is `3x` and its length is `4x-3`.

Hence, its area is `3x xx (4x-3)=3x xx4x-3x xx3=12x^2-9x`

and perimeter is `2xx(3x+4x-3)=2xx(7x-3)`

= `2xx7x-2xx3=14x-6`