Question

1. Henry is using a total of 40 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each 8 ft. high. The top, bottom, and two shelves are all the same length, labeled .

Part A: Construct an equation to model the situation. (5 points)




Part B: Solve the equation. Show all your steps.

(5 points)





Part C: Use the solution to answer the question in a complete sentence. (5 points)

Answer 1

Part A:

40 = 16 + 4·s

Part B:

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

Explanation:

The given parameters are;

The length of the lumber Henry is using to make the book case = 40 ft.

The height of the left and right side of the book case = 8 ft. each

The length of the top and bottom and the two shelves are each = s

Therefore, we have;

Part A:

The equation is given as follows;

40 = 8 × 2 + 4·s = 16 + 4·s

40 = 16 + 4·s

Part B:

The solution of the equation is given as follows;

40 = 16 + 4·s

4·s= 40 - 16 = 24

s = 24/4 = 6 ft.

s = 6 ft.

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet