Spot builds dog houses. He needs 10 wooden boards and 15 nails to build a small dog house; and he uses 15 wooden boards and 45 nails for a large dog house. Spot makes $40 profit on every small dog house and $52 profit on every large dog house. If he has 60 wooden boards an 135 nails, how many LARGE dog houses should he make to maximize his profit?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.