1. **Problem Statement:** Estimate the total number and length of metal strap braces needed for bracing the exterior walls based on the given floor plan and wall dimensions. 2. **Given Data:** - Height of all wall sections $H = 8$ ft. - Lengths of wall sections $A$ through $N$ are all 8 ft (as provided). - Metal strap braces span diagonally from top plate to bottom plate of each rectangular wall section. - Total length of metal strap needed per wall section is twice the diagonal length. - Cost per foot of metal strap is 0.84. 3. **Formula for diagonal length:** $$\text{Diagonal Length} = \sqrt{L^2 + H^2}$$ where $L$ is the length of the wall section and $H$ is the height. 4. **Calculate diagonal length for each wall section:** Since $L=8$ ft and $H=8$ ft for all sections, $$\text{Diagonal Length} = \sqrt{8^2 + 8^2} = \sqrt{64 + 64} = \sqrt{128} = 11.31 \text{ ft (rounded to two decimals)}$$ 5. **Calculate total metal strap length per wall section:** $$\text{Total Length} = 2 \times 11.31 = 22.62 \text{ ft}$$ 6. **Calculate total metal strap length for all wall sections:** There are 14 wall sections (A through N), so $$\text{Total Metal Strap Needed} = 14 \times 22.62 = 316.68 \text{ ft}$$ 7. **Calculate total cost:** $$\text{Total Cost} = 316.68 \times 0.84 = 265.01$$ **Final answers:** - Total metal strap length needed: $316.68$ ft - Total cost of metal strap: $265.01$