Subjects geometry

L Shaped Area E22602

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

Use the AI math solver

Question: User: 8. −(−4) + (−3) − (−2) 10. −|−4| + |−6| − (−5) Add, subtract, multiply, or divide as numbers. 12. 9 3/5 + 5 3/10 − 7 1/2 Find the perimeter of each figure. 15. 10 14 18 The figure is an L-shaped polygon with right-angle markers at the corners; position_hint = center Find the area of each figure.Problem 15
1. **State the problem:** Find the area of the L-shaped polygon with side lengths $10$, $14$, and $18$. 2. **Understand the shape:** The L-shaped polygon can be divided into two rectangles. 3. **Assign dimensions:** - Let the vertical side be $18$ units. - The horizontal sides are $10$ and $14$ units. 4. **Divide the L-shape into two rectangles:** - Rectangle A: width $10$, height $14$ - Rectangle B: width $(18 - 14) = 4$, height $10$ 5. **Calculate areas:** - Area of Rectangle A: $$10 \times 14 = 140$$ - Area of Rectangle B: $$4 \times 10 = 40$$ 6. **Sum the areas:** $$140 + 40 = 180$$ 7. **Final answer:** The area of the L-shaped polygon is $180$ square units.
141810