Sure! Let’s solve each problem step by step.
We are given 8 rectangular shapes, and for each, we need to find:
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Area = length × width
-
Perimeter = 2 × (length + width)
Units must be included in the answers (in², yd², ft² for area; in, yd, ft for perimeter).
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1. Rectangle: 42 in by 12 in
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Area = 42 × 12 =
504 in²
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Perimeter = 2 × (42 + 12) = 2 × 54 =
108 in
✔ Answer: Area = 504 in², Perimeter = 108 in
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2. Rectangle: 29 yd by 16 yd
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Area = 29 × 16 =
464 yd²
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Perimeter = 2 × (29 + 16) = 2 × 45 =
90 yd
✔ Answer: Area = 464 yd², Perimeter = 90 yd
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3. Rectangle: 47 ft by 26 ft
-
Area = 47 × 26
Let’s compute:
47 × 20 = 940
47 × 6 = 282
Total = 940 + 282 =
1,222 ft²
-
Perimeter = 2 × (47 + 26) = 2 × 73 =
146 ft
✔ Answer: Area = 1,222 ft², Perimeter = 146 ft
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4. Rectangle: 40 ft by 22 ft
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Area = 40 × 22 =
880 ft²
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Perimeter = 2 × (40 + 22) = 2 × 62 =
124 ft
✔ Answer: Area = 880 ft², Perimeter = 124 ft
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5. Rectangle: 31 in by 19 in
-
Area = 31 × 19
Compute:
30 × 19 = 570
1 × 19 = 19
Total = 570 + 19 =
589 in²
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Perimeter = 2 × (31 + 19) = 2 × 50 =
100 in
✔ Answer: Area = 589 in², Perimeter = 100 in
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6. Rectangle: 39 ft by 19 ft
-
Area = 39 × 19
Compute:
40 × 19 = 760
Minus 1 × 19 = 19 → 760 - 19 =
741 ft²
-
Perimeter = 2 × (39 + 19) = 2 × 58 =
116 ft
✔ Answer: Area = 741 ft², Perimeter = 116 ft
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7. Rectangle: 22 yd by 14 yd
-
Area = 22 × 14
Compute:
20 × 14 = 280
2 × 14 = 28
Total = 280 + 28 =
308 yd²
-
Perimeter = 2 × (22 + 14) = 2 × 36 =
72 yd
✔ Answer: Area = 308 yd², Perimeter = 72 yd
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8. Rectangle: 21 yd by 26 yd
-
Area = 21 × 26
Compute:
20 × 26 = 520
1 × 26 = 26
Total = 520 + 26 =
546 yd²
-
Perimeter = 2 × (21 + 26) = 2 × 47 =
94 yd
✔ Answer: Area = 546 yd², Perimeter = 94 yd
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✔ Final Answers Summary:
1.
Area = 504 in², Perimeter = 108 in
2.
Area = 464 yd², Perimeter = 90 yd
3.
Area = 1,222 ft², Perimeter = 146 ft
4.
Area = 880 ft², Perimeter = 124 ft
5.
Area = 589 in², Perimeter = 100 in
6.
Area = 741 ft², Perimeter = 116 ft
7.
Area = 308 yd², Perimeter = 72 yd
8.
Area = 546 yd², Perimeter = 94 yd
Let me know if you’d like this formatted as a worksheet answer key! 😊
Parent Tip: Review the logic above to help your child master the concept of area and perimeter rectangle worksheet.
