Question

A picture has a length of 3x + 5 and a width of5x – 2. If the frame around it has a width of x,write an expression for the area.

Answer 1

Answer:

$A=35x^2+25x-10$

Step-by-step explanation:

If the picture has a length of 3x+5 and a width of 5x-2.

Remember that the area of a rectangle is represented by the following equation;

$A=\text{ length}\cdot\text{ width}$

If the frame around it has a width of x:

Then, the expression for the area including the frame:

$\begin{gathered} A=(3x+5+2x)\cdot(5x-2+2x) \\ A=(5x+5)\cdot(7x-2) \\ A=35x^2-10x+35x-10 \\ A=35x^2+25x-10 \end{gathered}$