Let’s Apply
Solve the following problems. Show your solution step by step.
1) The length of the rectangle is (2x − 3) cm and the width is (x + 7) cm. Find the
area of the rectangle in terms of x.

2. The sides of a triangle are represented by the expressions 2x
2 + 5, 5x
2 − 2x,
and 8x + 2. What is the perimeter of the triangle?

3. If the length of a rectangle in terms of x is x
2 + 2x + 5, and its width is 2x + 3.
What is the perimeter of the rectangle?

4. The volume of a box is 2x
3 + x
2 − 13x + 6. If the height is (x − 2), what are the
dimensions of the rectangular base of the box?