Problem Description:
The task is to identify and color all shapes in the image that have an area of
36 square units. The shapes are either squares or rectangles, and their dimensions are provided.
Steps to Solve:
1.
Understand the Formula for Area:
- For a
rectangle, the area is calculated as:
\[
\text{Area} = \text{length} \times \text{width}
\]
- For a
square, since all sides are equal, the area is:
\[
\text{Area} = \text{side} \times \text{side} = \text{side}^2
\]
2.
Calculate the Area for Each Shape:
-
Shape 1 (Rectangle): Dimensions are 9 (length) and 4 (width).
\[
\text{Area} = 9 \times 4 = 36 \, \text{sq units}
\]
-
Shape 2 (Square): Dimensions are 6 (side).
\[
\text{Area} = 6 \times 6 = 36 \, \text{sq units}
\]
-
Shape 3 (Rectangle): Dimensions are 8 (length) and 10 (width).
\[
\text{Area} = 8 \times 10 = 80 \, \text{sq units}
\]
-
Shape 4 (Rectangle): Dimensions are 9 (length) and 9 (width).
\[
\text{Area} = 9 \times 9 = 81 \, \text{sq units}
\]
-
Shape 5 (Rectangle): Dimensions are 12 (length) and 3 (width).
\[
\text{Area} = 12 \times 3 = 36 \, \text{sq units}
\]
3.
Identify Shapes with an Area of 36 sq units:
- From the calculations above, the shapes with an area of 36 sq units are:
- Shape 1 (Rectangle: 9 × 4)
- Shape 2 (Square: 6 × 6)
- Shape 5 (Rectangle: 12 × 3)
4.
Color the Identified Shapes:
- Color the shapes corresponding to the dimensions (9 × 4), (6 × 6), and (12 × 3).
Final Answer:
The shapes to be colored are:
- The rectangle with dimensions 9 × 4.
- The square with side 6.
- The rectangle with dimensions 12 × 3.
\[
\boxed{\text{Shapes 1, 2, and 5}}
\]
Parent Tip: Review the logic above to help your child master the concept of area of square worksheet.
