I will solve the area and perimeter problems for each shape on this worksheet. I'll start by reviewing the formulas and then calculate the values for each figure.
Formulas:
-
Perimeter (P) of a rectangle/square: P = 2 × (length + width)
-
Area (A) of a rectangle/square: A = length × width
Let's begin with the first row after the example.
First Row (after the example)
1.
Rectangle (8 m by 3 m):
- Perimeter: P = 2 × (8 + 3) = 2 × 11 =
22 m
- Area: A = 8 × 3 =
24 m²
2.
Square (5 ft by 7 ft): Wait, this is labeled as a square but has different side lengths (5 ft and 7 ft). This must be an error in the worksheet; it should be a rectangle.
- Perimeter: P = 2 × (5 + 7) = 2 × 12 =
24 ft
- Area: A = 5 × 7 =
35 ft²
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Second Row
3.
Square (6 cm by 6 cm):
- Perimeter: P = 2 × (6 + 6) = 2 × 12 =
24 cm
- Area: A = 6 × 6 =
36 cm²
4.
Rectangle (5 in by 1 in):
- Perimeter: P = 2 × (5 + 1) = 2 × 6 =
12 in
- Area: A = 5 × 1 =
5 in²
5.
Rectangle (4 m by 2 m):
- Perimeter: P = 2 × (4 + 2) = 2 × 6 =
12 m
- Area: A = 4 × 2 =
8 m²
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Third Row
6.
Rectangle (3 ft by 2 ft):
- Perimeter: P = 2 × (3 + 2) = 2 × 5 =
10 ft
- Area: A = 3 × 2 =
6 ft²
7.
Diamond (Rhombus) (1 cm per side): The worksheet labels this as a square rotated. Since all sides are equal (1 cm), we can treat it as a square for perimeter. For area, since no height or diagonal is given, we assume it's a square.
- Perimeter: P = 2 × (1 + 1) = 2 × 2 =
4 cm (or simply 4 × 1 = 4 cm)
- Area: A = 1 × 1 =
1 cm²
8.
Rectangle (10 m by 6 m):
- Perimeter: P = 2 × (10 + 6) = 2 × 16 =
32 m
- Area: A = 10 × 6 =
60 m²
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Final Answers
Here are the completed answers for the worksheet:
First Row:
- Rectangle (8m x 3m): P =
22 m, A =
24 m²
- Rectangle (5ft x 7ft): P =
24 ft, A =
35 ft²
Second Row:
- Square (6cm x 6cm): P =
24 cm, A =
36 cm²
- Rectangle (5in x 1in): P =
12 in, A =
5 in²
- Rectangle (4m x 2m): P =
12 m, A =
8 m²
Third Row:
- Rectangle (3ft x 2ft): P =
10 ft, A =
6 ft²
- Diamond/Square (1cm x 1cm): P =
4 cm, A =
1 cm²
- Rectangle (10m x 6m): P =
32 m, A =
60 m²
This completes the worksheet. All calculations follow the standard formulas for perimeter and area of rectangles and squares.
Parent Tip: Review the logic above to help your child master the concept of finding perimeter and area worksheet.
