Question

Addison, a carpenter is installing a new set of closet doors with a simple moulding for a client’s bedroom.The closet doors are 75 inches wide and 85 inches tall, and the mounding will be an equal width around the sides and top of the doors.

The total are of the closet door and moulding in square inches can be molded by the expression (75+2x)(85+x),where x is the width of the moulding in inches
What does the quantity 85+x represent in the expression?

Answer 1

The quantity 85+x represents the height of the closet doors plus the width of the molding in the expression.

Step-by-step explanation:

In the expression (75+2x)(85+x), the quantity 85+x represents the height of the closet doors plus the width of the molding.

The expression (75+2x) represents the width of the closet doors plus twice the width of the molding, and the expression (85+x) represents the height of the closet doors plus the width of the molding.

By adding the width of the molding to the height of the closet doors, the expression (85+x) accounts for the total height of the closet doors and the molding.