Of course! Let's solve the problems in each section of the worksheet step by step.
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Section A: Determine the area of the rectangles and squares.
The formula for the area of a rectangle or square is:
>
Area = Length × Width
Remember to include the correct units (in², ft², or yd²).
Problem 2:
- Dimensions: 2 ft. and 4 ft.
- Area = 2 × 4 =
8 ft.²
Problem 3:
- This is a square with side length 5 ft.
- Area = 5 × 5 =
25 ft.²
Problem 4:
- Dimensions: 8 yd. and 3 yd.
- Area = 8 × 3 =
24 yd.²
Problem 5:
- This is a square with side length 7 in.
- Area = 7 × 7 =
49 in.²
Problem 6:
- Dimensions: 9 in. and 5 in.
- Area = 9 × 5 =
45 in.²
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Section B: Check the rectangle or square with the largest area.
We calculate the area of each shape in the pair and compare.
Problem 1:
- Shape 1: 9 ft. × 3 ft. → Area = 9 × 3 =
27 ft.²
- Shape 2: 7 ft. × 4 ft. → Area = 7 × 4 =
28 ft.²
-
Larger area: The 7 ft. by 4 ft. rectangle (28 ft.²)
✔ Check the
second rectangle.
Problem 2:
- Shape 1: Square, 4 yd. × 4 yd. → Area = 4 × 4 =
16 yd.²
- Shape 2: 5 yd. × 3 yd. → Area = 5 × 3 =
15 yd.²
-
Larger area: The 4 yd. square (16 yd.²)
✔ Check the
first square.
Problem 3:
- Shape 1: 15 in. × 4 in. → Area = 15 × 4 =
60 in.²
- Shape 2: 8 in. × 7 in. → Area = 8 × 7 =
56 in.²
-
Larger area: The 15 in. by 4 in. rectangle (60 in.²)
✔ Check the
first rectangle.
Problem 4:
- Shape 1: 13 ft. × 5 ft. → Area = 13 × 5 =
65 ft.²
- Shape 2: Square, 80 in. × 80 in. → Area = 80 × 80 =
6400 in.²
⚠️
Important: We must convert to the same unit to compare.
Since 1 ft = 12 in, then 1 ft² = 144 in².
Convert 65 ft.² to in.²:
> 65 ft.² × 144 in.²/ft.² =
9360 in.²
Now compare:
- Shape 1: 9360 in.²
- Shape 2: 6400 in.²
✔ Larger area: The 13 ft. by 5 ft. rectangle (9360 in.²)
✔ Check the
first rectangle.
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Section C: Find the missing measurement.
We use the area formula rearranged:
>
Length = Area ÷ Width (or vice versa)
Problem 1:
- Area = 54 yd.², one side = 6 yd.
- Missing side = 54 ÷ 6 =
9 yd.
Problem 2:
- Area = 84 ft.², one side = 7 ft.
- Missing side = 84 ÷ 7 =
12 ft.
Problem 3:
- Area = 81 in.², and it’s a square (all sides equal).
- So, side × side = 81 → side = √81 =
9 in.
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✔ Final Answers:
Section A:
2)
8 ft.²
3)
25 ft.²
4)
24 yd.²
5)
49 in.²
6)
45 in.²
Section B:
1)
✔ Check the
7 ft. by 4 ft. rectangle
2)
✔ Check the
4 yd. square
3)
✔ Check the
15 in. by 4 in. rectangle
4)
✔ Check the
13 ft. by 5 ft. rectangle
Section C:
1)
9 yd.
2)
12 ft.
3)
9 in.
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Parent Tip: Review the logic above to help your child master the concept of area worksheet pdf.
