# 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?

Oct 26, 2016

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

#### Explanation:

If width of a rectangle is $w$ and length is $l$, its area is $w \times l$ and perimeter is $2 \times \left(w + l\right)$.

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

Hence, its area is $3 x \times \left(4 x - 3\right) = 3 x \times 4 x - 3 x \times 3 = 12 {x}^{2} - 9 x$

and perimeter is $2 \times \left(3 x + 4 x - 3\right) = 2 \times \left(7 x - 3\right)$

= $2 \times 7 x - 2 \times 3 = 14 x - 6$