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Finding Missing Side Lengths

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Finding Missing Side Lengths worksheet preview

Finding Missing Side Lengths

Composite shapes with missing measurements

📐 Part 1: Rectangle Composite Shapes

Instructions: Find the missing side length x for each composite shape. Use the given total area and known measurements.

1. This L-shaped figure is made of two rectangles. Total Area = 84 square feet

Large rectangle: 12 ft × 6 ft

Small rectangle: x ft × 4 ft

x = _______ ft

2. This composite shape has a Total Area = 120 square inches

Bottom rectangle: 15 in × 6 in

Top rectangle: 5 in × x in

x = _______ in

3. Find x when the Total Area = 156 square feet

Left rectangle: 8 ft × 12 ft

Right rectangle: x ft × 10 ft

x = _______ ft

4. This T-shaped figure has a Total Area = 200 square inches

Horizontal rectangle: 20 in × 5 in

Vertical rectangle: 6 in × x in

x = _______ in

🔺 Part 2: Triangle and Rectangle Combinations

Instructions: These shapes combine rectangles and triangles. Remember: Triangle Area = ½ × base × height

5. Rectangle with triangle on top. Total Area = 90 square feet

Rectangle: 8 ft × 9 ft

Triangle: base = 6 ft, height = x ft

x = _______ ft

6. House-shaped figure. Total Area = 108 square inches

Rectangle: 12 in × 7 in

Triangle: base = 12 in, height = x in

x = _______ in

7. Rectangle with triangle attached to side. Total Area = 75 square feet

Rectangle: 10 ft × 6 ft

Triangle: base = 5 ft, height = x ft

x = _______ ft

8. Pentagon-shaped figure. Total Area = 144 square inches

Rectangle: 16 in × 8 in

Triangle: base = x in, height = 4 in

x = _______ in

🎯 Part 3: Challenge Problems

9. Complex L-shape with triangle. Total Area = 180 square feet

Large rectangle: 12 ft × 10 ft

Small rectangle: 8 ft × 6 ft

Triangle: base = 8 ft, height = x ft

x = _______ ft

10. Arrow-shaped figure. Total Area = 126 square inches

Rectangle (shaft): x in × 6 in

Triangle (point): base = 8 in, height = 9 in

x = _______ in

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