1. The problem asks to find the area of the given figures, which are squares, rectangles, and composite shapes.
2. The formula for the area of a square is $$A = s^2$$ where $s$ is the side length.
3. The formula for the area of a rectangle is $$A = l \times w$$ where $l$ is length and $w$ is width.
4. For composite figures, break them into simpler shapes (rectangles/squares), find each area, then sum them.
5. Calculate each figure's area:
(1) Square with side 7 m:
$$A = 7^2 = 49\text{ m}^2$$
(2) Square with side 15 cm:
$$A = 15^2 = 225\text{ cm}^2$$
(3) Rectangle 6 cm by 13 cm:
$$A = 6 \times 13 = 78\text{ cm}^2$$
(4) Rectangle 18 m by 9 m:
$$A = 18 \times 9 = 162\text{ m}^2$$
(5) L-shaped figure: split into two rectangles:
- Rectangle 1: 6 cm by 4 cm
- Rectangle 2: 8 cm by (10 - 4) cm = 8 cm by 6 cm
Calculate areas:
$$A_1 = 6 \times 4 = 24\text{ cm}^2$$
$$A_2 = 8 \times 6 = 48\text{ cm}^2$$
Total area:
$$A = 24 + 48 = 72\text{ cm}^2$$
(6) Composite step shape: split into two rectangles:
- Rectangle 1: 3 cm by 4 cm
- Rectangle 2: (12 - 3) cm by 4 cm = 9 cm by 4 cm
Calculate areas:
$$A_1 = 3 \times 4 = 12\text{ cm}^2$$
$$A_2 = 9 \times 4 = 36\text{ cm}^2$$
Total area:
$$A = 12 + 36 = 48\text{ cm}^2$$
(7) Large L-shaped figure: split into two rectangles:
- Rectangle 1: 90 m by 25 m
- Rectangle 2: (80 - 25) m by 30 m = 55 m by 30 m
Calculate areas:
$$A_1 = 90 \times 25 = 2250\text{ m}^2$$
$$A_2 = 55 \times 30 = 1650\text{ m}^2$$
Total area:
$$A = 2250 + 1650 = 3900\text{ m}^2$$
Final answers:
(1) 49 m^2
(2) 225 cm^2
(3) 78 cm^2
(4) 162 m^2
(5) 72 cm^2
(6) 48 cm^2
(7) 3900 m^2
This completes the area calculations using the formula $P = \text{Area}$ for each figure.
Area Composite Figures 2E9342
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