Explanation:
We need to find the
perimeter and
area of each shape. All shapes are rectangles or squares (a square is just a rectangle with equal sides).
Remember:
-
Perimeter of a rectangle = 2 × (length + width)
-
Area of a rectangle = length × width
- For a
square, since all sides are equal, perimeter = 4 × side, and area = side × side.
Let’s go one by one:
1.
Yellow rectangle: 9 cm by 5 cm
- Perimeter = 2 × (9 + 5) = 2 × 14 =
28 cm
- Area = 9 × 5 =
45 cm²
2.
Orange square: 6 in by 6 in
- Perimeter = 4 × 6 =
24 in
- Area = 6 × 6 =
36 in²
3.
Pink square: 4 cm by 4 cm
- Perimeter = 4 × 4 =
16 cm
- Area = 4 × 4 =
16 cm²
4.
Yellow rectangle (ft): 7 ft by 4 ft
- Perimeter = 2 × (7 + 4) = 2 × 11 =
22 ft
- Area = 7 × 4 =
28 ft²
5.
Blue rectangle (ft): 15 ft by 8 ft
- Perimeter = 2 × (15 + 8) = 2 × 23 =
46 ft
- Area = 15 × 8 =
120 ft²
6.
Green rectangle (ft): 13 ft by 9 ft
- Perimeter = 2 × (13 + 9) = 2 × 22 =
44 ft
- Area = 13 × 9 =
117 ft²
7.
Light blue rectangle (in): 27 in by 8 in
- Perimeter = 2 × (27 + 8) = 2 × 35 =
70 in
- Area = 27 × 8 =
216 in²
8.
Purple square (mm): 64 mm by 8 mm? Wait — look carefully: the label says “8mm” on top, but the vertical side is labeled “64mm”. That means it's a rectangle: 8 mm (width) × 64 mm (height).
- Perimeter = 2 × (8 + 64) = 2 × 72 =
144 mm
- Area = 8 × 64 =
512 mm²
Double-check that last one: Yes, the top says “8mm”, left side says “64mm”, so it's not a square — it's a rectangle. So calculations above are correct.
Now let’s list all answers clearly:
- 9 cm × 5 cm: Perimeter = 28 cm, Area = 45 cm²
- 6 in × 6 in: Perimeter = 24 in, Area = 36 in²
- 4 cm × 4 cm: Perimeter = 16 cm, Area = 16 cm²
- 7 ft × 4 ft: Perimeter = 22 ft, Area = 28 ft²
- 15 ft × 8 ft: Perimeter = 46 ft, Area = 120 ft²
- 13 ft × 9 ft: Perimeter = 44 ft, Area = 117 ft²
- 27 in × 8 in: Perimeter = 70 in, Area = 216 in²
- 8 mm × 64 mm: Perimeter = 144 mm, Area = 512 mm²
All calculations verified.
Final Answer:
Perimeter: 28 cm, 24 in, 16 cm, 22 ft, 46 ft, 44 ft, 70 in, 144 mm
Area: 45 cm², 36 in², 16 cm², 28 ft², 120 ft², 117 ft², 216 in², 512 mm²
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheet 6th grade.
