Question

The theater company has asked for help with creating part of their
set. They need to build at least nine walls that measure 7 feet by 5
feet. There is a lumber pile that can be used to make these walls. The
boards in the pile are 4 inches by 16 feet. There are 75 boards in the
piles. The stage is 55 feet wide.
- Determine the number of walls you can build.

Answer 1

The number of walls you can build with the boards in the lumber pile is;

11 walls.

• Number of walls to be built = 9 walls

• Measurement of each wall = 7 ft by 5 ft

• Measurement of the board in the lumber pile;

4 inches by 16 ft = 1/3 ft by 16 ft

There are 75 of these boards in the lumber pile.

Thus total area of boards in lumber pile = 1/3 × 16 × 75 = 400 ft²

Area of 1 wall that measures 7 by 5 ft is

A = 7 × 5

A = 315 ft²

Total number of walls that can be built with the lumber piles = 400/35 = 11.4 walls.

Thus, number of walls you can build is approximately 11 walls.

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