Subjects geometry

Area Composite F57C32

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Find the area of the composite shape which is an L-shaped rectangle with given side lengths. 2. **Formula and rules:** The area of a composite rectangle can be found by dividing it into simpler rectangles, calculating each area, and then summing them. 3. **Identify rectangles:** - Rectangle A (top horizontal part): width = 30 ft, height = 15 ft - Rectangle B (left vertical part): width = 5 ft, height = 20 ft - 15 ft = 5 ft 4. **Calculate areas:** $$\text{Area}_A = 30 \times 15 = 450$$ $$\text{Area}_B = 5 \times 5 = 25$$ 5. **Sum areas:** $$\text{Total Area} = 450 + 25 = 475$$ 6. **Answer:** The area of the composite rectangle is **475 square feet**.