It looks like you've uploaded a worksheet titled
"Skill: Find the Area and Perimeter of a Rectangle (labeled)" with several problems asking to find the
area and
perimeter of rectangles, given their length and width.
Since I can't view images directly, I’ll help you solve this type of problem based on the typical structure of such worksheets. Let’s go through the
formulas and then solve
a few sample problems as examples.
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🔷 Formulas:
For a rectangle:
-
Perimeter (P) = 2 × (Length + Width)
→ $ P = 2(l + w) $
-
Area (A) = Length × Width
→ $ A = l \times w $
Units are usually in inches (in), feet (ft), or centimeters (cm), and answers should include units.
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Let’s assume the problems on your worksheet look something like this (based on common formats):
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✔ Example Problems & Solutions:
#### Problem 1:
-
Length = 14 in,
Width = 10 in
-
P = ?,
A = ?
Solution:
- $ P = 2(14 + 10) = 2(24) = 48 $ in
- $ A = 14 \times 10 = 140 $ sq. in
✔ Answer:
- $ P = 48 $ in
- $ A = 140 $ sq. in
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#### Problem 2:
-
Length = 5 ft,
Width = 3 ft
-
P = ?,
A = ?
Solution:
- $ P = 2(5 + 3) = 2(8) = 16 $ ft
- $ A = 5 \times 3 = 15 $ sq. ft
✔ Answer:
- $ P = 16 $ ft
- $ A = 15 $ sq. ft
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#### Problem 3:
-
Length = 9 cm,
Width = 7 cm
-
P = ?,
A = ?
Solution:
- $ P = 2(9 + 7) = 2(16) = 32 $ cm
- $ A = 9 \times 7 = 63 $ sq. cm
✔ Answer:
- $ P = 32 $ cm
- $ A = 63 $ sq. cm
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📌 Tips for Solving All Problems:
1. Identify the
length and
width from the problem.
2. Plug into formulas:
- Perimeter: $ 2(l + w) $
- Area: $ l \times w $
3. Don’t forget to
include units in your final answer!
4. If the dimensions are mixed (e.g., one in feet, one in inches), convert them first!
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❓ What if the problem gives only perimeter or area?
Sometimes, problems give perimeter and one side, and ask for the missing side. For example:
> "The perimeter is 30 in, and the length is 8 in. Find the width."
Use:
- $ P = 2(l + w) $
- $ 30 = 2(8 + w) $
- $ 15 = 8 + w $
- $ w = 7 $ in
But since your worksheet seems to be straightforward (just compute both), most likely all problems give both dimensions.
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✔ Final Advice:
Go through each problem on your worksheet using the steps above. Just apply:
- $ P = 2(l + w) $
- $ A = l \times w $
And double-check your arithmetic and units.
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If you can
type out a specific problem from the worksheet (e.g., "Problem 5: l = 12 in, w = 5 in"), I can walk you through it step by step.
Would you like that?
Parent Tip: Review the logic above to help your child master the concept of area and perimeter of a rectangle worksheet.