To solve this problem, we need to calculate the area of each composite shape and then determine which ones have an area greater than 40.
Step 1: Calculate the Area of Each Shape
#### Shape 1 (Top Center)
- This shape can be divided into two rectangles.
- The left rectangle has dimensions 7 (height) by 5 (width).
- Area = 7 * 5 = 35
- The right rectangle has dimensions 4 (height) by 3 (width).
- Area = 4 * 3 = 12
- Total area = 35 + 12 = 47
#### Shape 2 (Bottom Left)
- This shape consists of two squares.
- The left square has dimensions 5 (height) by 5 (width).
- Area = 5 * 5 = 25
- The right square has dimensions 4 (height) by 4 (width).
- Area = 4 * 4 = 16
- Total area = 25 + 16 = 41
#### Shape 3 (Bottom Right)
- This shape can be divided into two rectangles.
- The left rectangle has dimensions 4 (height) by 2 (width).
- Area = 4 * 2 = 8
- The right rectangle has dimensions 5 (height) by 3 (width).
- Area = 5 * 3 = 15
- Total area = 8 + 15 = 23
#### Shape 4 (Bottom Center)
- This shape is a single rectangle.
- Dimensions are 12 (length) by 3 (width).
- Area = 12 * 3 = 36
Step 2: Compare Areas with 40
- Shape 1: 47 (greater than 40)
- Shape 2: 41 (greater than 40)
- Shape 3: 23 (not greater than 40)
- Shape 4: 36 (not greater than 40)
Final Answer
The composite shapes with an area greater than 40 are Shape 1 and Shape 2.
Parent Tip: Review the logic above to help your child master the concept of area of composite figures worksheet.
