To solve these problems, we need to find the
Area and
Perimeter for each rectangle.
Here are the rules we will use:
1.
Area is the space inside. For a rectangle, you multiply the length by the width ($Length \times Width$). The answer is in "square units" (like square cm).
2.
Perimeter is the distance around the outside. You add all four sides together. Since opposite sides are equal, you can do $(Length + Width) \times 2$.
Let's work through them one by one.
---
Problem 1)
*
Dimensions: Length = $6\text{ cm}$, Width = $2\text{ cm}$
*
Area Calculation: $6 \times 2 = 12$
* Answer:
12 square cm
*
Perimeter Calculation: Add all sides ($6 + 2 + 6 + 2$) or double the sum of length and width ($(6+2) \times 2$).
* $8 \times 2 = 16$
* Answer:
16 cm
Problem 2)
*
Dimensions: Length = $5\text{ mm}$, Width = $3\text{ mm}$
*
Area Calculation: $5 \times 3 = 15$
* Answer:
15 square mm
*
Perimeter Calculation: $(5 + 3) \times 2$
* $8 \times 2 = 16$
* Answer:
16 mm
Problem 3)
*
Dimensions: Length = $9\text{ m}$, Width = $5\text{ m}$
*
Area Calculation: $9 \times 5 = 45$
* Answer:
45 square m
*
Perimeter Calculation: $(9 + 5) \times 2$
* $14 \times 2 = 28$
* Answer:
28 m
Problem 4)
*
Dimensions: Length = $8\text{ ft}$, Width = $3\text{ ft}$
*
Area Calculation: $8 \times 3 = 24$
* Answer:
24 square ft
*
Perimeter Calculation: $(8 + 3) \times 2$
* $11 \times 2 = 22$
* Answer:
22 ft
Problem 5)
*
Dimensions: This is a square (all sides are equal). Side = $6\text{ cm}$
*
Area Calculation: $6 \times 6 = 36$
* Answer:
36 square cm
*
Perimeter Calculation: $6 + 6 + 6 + 6$ (or $6 \times 4$)
* Answer:
24 cm
Problem 6)
*
Dimensions: Length = $8\text{ km}$, Width = $5\text{ km}$
*
Area Calculation: $8 \times 5 = 40$
* Answer:
40 square km
*
Perimeter Calculation: $(8 + 5) \times 2$
* $13 \times 2 = 26$
* Answer:
26 km
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Final Answer:
1) Area = 12, Perimeter = 16
2) Area = 15, Perimeter = 16
3) Area = 45, Perimeter = 28
4) Area = 24, Perimeter = 22
5) Area = 36, Perimeter = 24
6) Area = 40, Perimeter = 26
Parent Tip: Review the logic above to help your child master the concept of free perimeter worksheet.
