Question

7. The table top is a rectangular shape with length (5x - 2) metre and width (x + 2) metre. Mr. Phillip wants to put a piece of glass over the table top. The section of the table top not covered with the glass has a width of (x-3) metre. Determine the area of the table top that is not covered in the form of algebraic expressions.​

Answer 1

Answer: The total area of the table top is given by the product of its length and width:

Area of table top = length × width

= (5x - 2)(x + 2)

The width of the section not covered by the glass is (x - 3) metre, which means that the width covered by the glass is (width of table top) - (width of section not covered):

Width covered by glass = (width of table top) - (width of section not covered)

= (x + 2) - (x - 3)

= 5

Therefore, the area of the table top not covered by the glass is:

Area not covered by glass = (length of table top) × (width not covered by glass)

= (5x - 2)(5)

= 25x - 10 square metres

Hence, the area of the table top that is not covered by the glass is 25x - 10 square metres.

Explanation: