A 4th grade measurement and geometry lesson focusing on perimeter and area formulas for rectangles and squares through direct practice, missing dimensions, and word problems.
Students are painting a rectangular wall mural that is 18 feet long and 8 feet tall. If one can of primer covers 50 square feet, how many full cans must they buy?
Step 1: Find Area | Step 2: Cans Needed
Area = sq ft Need: cans
Blueprint #4: The Lawn Mowing Showdown
David mows two yards: Yard A is a rectangle (16 m by 7 m). Yard B is a square (11 m by 11 m). Which yard has a larger area to mow, and by how many square meters?
Compare Yard A vs Yard B:
Larger Yard: Yard by \(\text{m}^2\)
4 Part 4: Architect Floor Plan Challenge
Bonus Builder
Grid Plan (1 square = 1 sq unit) 12 × 7 Grid
Architect Instructions:
Shade or outline two DIFFERENT rectangles on the grid that each have an exact area of 24 square units (e.g., \(6 \times 4\) or \(8 \times 3\)). Label the length and width of each!
Design 1: Length: units, Width: units
Design 2: Length: units, Width: units
Check your work: Does \(\text{Length} \times \text{Width} = 24\) for both designs?
Area Architects • Grade 4 Rectangles & Squares Page 2 of 2 • Mission Complete! Turn in your blueprint log.
Advanced Word Problems & Architect Challenge
Detective Name:
3 Part 3: Multi-Step Master Mysteries
3 Points
Case #5: Same Perimeter, Different Area!
2-Part Mystery
Two gardeners have the exact same amount of fencing (32 feet each). Garden A is a rectangle (10 ft by 6 ft). Garden B is a square (8 ft by 8 ft).
Garden A (10 ft \(\times\) 6 ft)
Perimeter: \(2(10) + 2(6) = \) 32 feet
Area (\(10 \times 6\)): \(\text{ft}^2\)
Garden B (8 ft \(\times\) 8 ft)
Perimeter: \(4 \times 8 = \) 32 feet
Area (\(8 \times 8\)): \(\text{ft}^2\)
Which garden gives more planting area? Garden by more sq ft
Case #6: Perimeter to Area Detective
A rectangular kitchen floor has a total perimeter of 38 feet. The length of the room is 12 feet.
