Rectangle = Flat Shape with Four Sides (with four right angles)
Basics
l = Length
w = Width
P = Perimeter = distance along sides of rectangle
A = Area = area covering surface of rectangle (measured in square units)
Right Angle = 90°
A rectangle has four right angles.
The opposite sides of a rectangle are parallel.
A rectangle is a special form of a parallelogram in which all angles are right angles.
Formulas (Mathematics Formula Sheet)
P = 2l + 2w
A = lw
Formulas (NOT on Mathematics Formula Sheet)
l =
w =
l = A ÷ w
w = A ÷ l
Question
A football field is 120 yards long and 53 yards wide. What is its perimeter?
Answer
346 yards
Answer Process
P = 2l + 2w
P = 2 × 120 + 2 × 53 = 346
Input | Display | Comment |
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blinker | clears screen |
2 × 120 + 2 × 53 | 2*120+2*53 | P = 2l + 2w |
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346 | Answer |
Rectangle |
Question
A football field is 120 yards long and 53 yards wide. What is its area?
Answer
6360 square yards
Answer Process
A = lw
A = 120 × 53 = 6360
Input | Display | Comment |
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blinker | clears screen |
120 × 53 | 120*53 | A = lw |
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6360 | Answer |
Rectangle |
Question
The perimeter of a rectangular ping pong table is 8.5 meters. Its width is 1.5 meters. What is its length?
Answer
2.75 meters
Answer Process
l =
l = = 2.75
Input | Display | Comment |
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blinker | clears screen |
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l = |
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2.75 | Answer |
Rectangle |
Question
The perimeter of a rectangular candy bar is 14 centimeters. Its length is 5 centimeters. What is its width?
Answer
2 centimeters
Answer Process
w =
w = = 2
Input | Display | Comment |
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blinker | clears screen |
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w = |
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2 | Answer |
Rectangle |
Question
The area of a rectangular room is 108 square feet. Its width is 9 feet. What is its length?
Answer
12 feet
Answer Process
l = A ÷ w
l = 108 ÷ 9 = 12
Input | Display | Comment |
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blinker | clears screen |
108 ÷ 9 | 108÷9 | l = A ÷ w |
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12 | Answer |
Rectangle |
Question
The area of a rectangular room is 156 square feet. Its length is 13 feet. What is its width?
Answer
12 feet
Answer Process
w = A ÷ l
w = 156 ÷ 13 = 12
Input | Display | Comment |
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blinker | clears screen |
156 ÷ 13 | 156÷13 | w = A ÷ l |
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12 | Answer |
Rectangle |
Question
The area of a rectangular postage stamp is 9.72 square centimeters. Its width is 2.7 centimeters. What is its perimeter?
Answer
12.6 centimeters
Answer Process
l = A ÷ w
l = 9.72 ÷ 2.7 = 3.6
P = 2l + 2w
P = 2 × 3.6 + 2 × 2.7 = 12.6
Input | Display | Comment |
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blinker | clears screen |
9.72 ÷ 2.7 | 9.72÷2.7 | l = A ÷ w |
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3.6 | l |
2 × 3.6 + 2 × 2.7 | 2*3.6+2*2.7 | P = 2l + 2w |
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12.6 | Answer |
Rectangle |
Question
The area of a rectangular postage stamp is 10.92 square centimeters. Its length is 3.9 centimeters. What is its perimeter?
Answer
13.4 centimeters
Answer Process
w = A ÷ l
w = 10.92 ÷ 3.9 = 2.8
P = 2l + 2w
P = 2 × 3.9 + 2 × 2.8 = 13.4
Input | Display | Comment |
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blinker | clears screen |
10.92 ÷ 3.9 | 10.92÷3.9 | w = A ÷ l |
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2.8 | w |
2 × 3.9 + 2 × 2.8 | 2*3.9+2*2.8 | P = 2l + 2w |
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13.4 | Answer |
Rectangle |
Question
The perimeter of a rectangular postage stamp is 20 centimeters. Its width is 3 centimeters. What is its area?
Answer
21 square centimeters
Answer Process
l =
l = = 7
A = lw
A = 7 × 3 = 21
Input | Display | Comment |
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blinker | clears screen |
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l = |
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7 | l |
7 × 3 | 7*3 | A = lw |
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21 | Answer |
Rectangle |
Question
The perimeter of a rectangular postage stamp is 24 centimeters. Its length is 8 centimeters. What is its area?
Answer
32 square centimeters
Answer Process
w =
w = = 4
A = lw
A = 8 × 4 = 32
Input | Display | Comment |
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blinker | clears screen |
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w = |
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4 | w |
8 × 4 | 8*4 | A = lw |
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32 | Answer |
Rectangle |
Practice – Questions
1. A park is 525 yards long and 125 yards wide. What is its perimeter?
2. A park is 525 yards long and 125 yards wide. What is its area?
3. The perimeter of a large rectangular table is 12.5 meters. Its width is 3.5 meters. What is its length?
4. The perimeter of a large rectangular candy bar is 22 centimeters. Its length is 7 centimeters. What is its width?
5. The area of a rectangular room is 88 square feet. Its width is 8 feet. What is its length?
6. The area of a rectangular room is 132 square feet. Its length is 12 feet. What is its width?
7. The area of a rectangular tile is 35 square inches. Its width is 5 inches. What is its perimeter?
8. The area of a rectangular tile is 64.66 square inches. Its length is 12.2 inches. What is its perimeter?
9. The perimeter of a rectangular tile is 40 inches. Its width is 8 inches. What is its area?
10. The perimeter of a large rectangular tile is 107.5 inches. Its length is 12.5 inches. What is its area?
Practice – Answers
1. 1300 yards
2. 65625 square yards
3. 2.75 meters
4. 4 centimeters
5. 11 feet
6. 11 feet
7. 24 inches
8. 35 inches
9. 96 square inches
10. 515.625 square inches