Here are the solutions for the area problems on the worksheet.
Section A: Squares and Rectangles
To find the area of a square or rectangle, you multiply the length by the width (or side $\times$ side for squares).
1) $10 \text{ cm} \times 10 \text{ cm} = 100 \text{ cm}^2$
2) $6 \text{ cm} \times 6 \text{ cm} = 36 \text{ cm}^2$
3) $12 \text{ cm} \times 12 \text{ cm} = 144 \text{ cm}^2$
4) $18 \text{ mm} \times 18 \text{ mm} = 324 \text{ mm}^2$
5) $9 \text{ cm} \times 4 \text{ cm} = 36 \text{ cm}^2$
6) $11 \text{ cm} \times 9 \text{ cm} = 99 \text{ cm}^2$
7) $78 \text{ mm} \times 15 \text{ mm} = 1170 \text{ mm}^2$
8) $9.1 \text{ m} \times 2.5 \text{ m} = 22.75 \text{ m}^2$
Section B: Parallelograms and Rhombuses
To find the area of a parallelogram or rhombus, you multiply the
base by the
vertical height. The vertical height is the straight line distance from the base to the top, not the slanted side.
*(Note: Some questions have extra numbers that are not needed. We only use the base and the vertical height.)*
1) Base is $9 \text{ cm}$, Height is $6 \text{ cm}$.
Calculation: $9 \times 6 = 54 \text{ cm}^2$
2) Base is $22 \text{ cm}$, Height is $13 \text{ cm}$. (Ignore the $16 \text{ cm}$ slanted side).
Calculation: $22 \times 13 = 286 \text{ cm}^2$
3) This is a rhombus. Base is $4 \text{ cm}$, Height is $3 \text{ cm}$. (Ignore the $7 \text{ cm}$ slanted side).
Calculation: $4 \times 3 = 12 \text{ cm}^2$
4) Base is $5 \text{ cm}$, Height is $7 \text{ cm}$. (Ignore the other $5 \text{ cm}$ slanted side).
Calculation: $5 \times 7 = 35 \text{ cm}^2$
5) For this diamond shape (rhombus), we can use the diagonals. Multiply the two diagonal lengths and divide by 2.
Diagonals are $14 \text{ cm}$ and $20 \text{ cm}$.
Calculation: $(14 \times 20) / 2 = 280 / 2 = 140 \text{ cm}^2$
6) Base is $13 \text{ mm}$, Height is $27 \text{ mm}$.
Calculation: $13 \times 27 = 351 \text{ mm}^2$
Final Answer:
Section A
1) 100 cm²
2) 36 cm²
3) 144 cm²
4) 324 mm²
5) 36 cm²
6) 99 cm²
7) 1170 mm²
8) 22.75 m²
Section B
1) 54 cm²
2) 286 cm²
3) 12 cm²
4) 35 cm²
5) 140 cm²
6) 351 mm²
Parent Tip: Review the logic above to help your child master the concept of area of quadrilaterals worksheet pdf.
