1. **Problem Statement:** Tara is building a fence represented by Rectangle ABCD with vertices A(6,8), B(6,1), C(10,1), D(10,8). Each unit on the graph equals 12 yards. Tara dilates the rectangle by a scale factor of 0.75 and wants to know the cost of fencing at 6.39 per yard. 2. **Find the original dimensions of Rectangle ABCD:** Length = difference in x-coordinates = $10 - 6 = 4$ units Width = difference in y-coordinates = $8 - 1 = 7$ units 3. **Convert units to yards:** Length in yards = $4 \times 12 = 48$ yards Width in yards = $7 \times 12 = 84$ yards 4. **Calculate the perimeter of the original rectangle:** $$P = 2(\text{Length} + \text{Width}) = 2(48 + 84) = 2(132) = 264 \text{ yards}$$ 5. **Apply the dilation scale factor to the perimeter:** Since perimeter scales linearly with the scale factor, $$P_{new} = 0.75 \times 264 = 198 \text{ yards}$$ 6. **Calculate the cost of fencing:** $$\text{Cost} = P_{new} \times 6.39 = 198 \times 6.39 = 1265.22$$ **Final answer:** Tara will spend $1265.22 on fencing.