You are an interior designer planning your dream bedroom. Use area formulas to calculate every section of your floor plan — then price out the perfect flooring.
Your family is renovating your bedroom and you get to design it! Work through four phases: measure the main floor, plan a triangular reading nook, map an L-shaped composite room, and then figure out the total flooring cost. Fill every calculator, hit Calculate or Check, then complete the planning checklist and write your floor-plan summary. Print it when you're done!
The main floor of your room is a parallelogram (a rectangle is a special parallelogram). Enter the base and height to find the area.
Multiply the base times the height. The height must be perpendicular (straight up) to the base — not the slanted side. Example: b = 12, h = 10 → Area = 12 × 10 = 120 sq ft.
You want a cozy triangular reading nook in one corner. A triangle is exactly half of a parallelogram, so its area is half the base times the height.
A triangle is half a parallelogram: Area = ½ × b × h. Example: b = 6, h = 4 → Area = ½ × 6 × 4 = 12 sq ft. The ½ means you divide by 2 at the end (or multiply first, then halve).
Your dream room has an L-shaped bonus section — like a closet extension. Split the L-shape into two separate rectangles, find each area, then add them together.
Find each rectangle separately: Area A = b × h, Area B = b × h. Then add the two areas. Example: Rectangle A = 10 × 8 = 80 sq ft. Rectangle B = 6 × 5 = 30 sq ft. Total = 80 + 30 = 110 sq ft.
Now the big question: how much will it cost to cover your floor? Multiply the total floor area by the price per square foot. You choose between two flooring options!
Write a 3–5 sentence summary that presents your design using real numbers from above. Explain what formula you used for each section and justify your flooring choice.
| Category | 4 — Expert | 3 — Proficient | 2 — Developing |
|---|---|---|---|
| Rectangle / Parallelogram Area | Correct area with formula shown; base and height clearly labeled | Area is correct | Minor arithmetic error or formula unclear |
| Triangle Area | Correct area using ½ × b × h with reasoning explained | Area is correct | Forgot the ½ or has a computational error |
| Composite Area | L-shape correctly split into two parts, each calculated and summed | Total composite area is correct | One part calculated or addition error |
| Application / Communication | Flooring cost correct; summary clearly ties all numbers together with full justification | Flooring cost correct; summary uses most numbers | Summary missing numbers or justification is unclear |