Questions: Use the formulas you've learned to find the areas of different sections of Vivian's yard. Part A To find the area of triangle ABC, find the lengths of base BC and height AB.

Solution Steps

• The base BC of triangle ABC is the same as the length of segment BC.
• From the diagram, BC is the same as the length of segment DE, which is 25 feet.

• The height AB of triangle ABC is the same as the length of segment AB.
• From the diagram, AB is the same as the length of segment EH, which is 66 feet.

• The area of a triangle is given by the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
• Substituting the values: \[ \text{Area} = \frac{1}{2} \times 25 \text{ feet} \times 66 \text{ feet} \] \[ \text{Area} = \frac{1}{2} \times 1650 \text{ square feet} \] \[ \text{Area} = 825 \text{ square feet} \]

Final Answer