Solved Examples: Finding Area of Rectangles

📚 Quick Study Guide

• 📏 Definition: A rectangle is a four-sided polygon with all angles equal to 90 degrees.
• 📐 Area Formula: The area ($A$) of a rectangle is found by multiplying its length ($l$) by its width ($w$). Mathematically, this is expressed as: $A = l \times w$
• ➕ Units: Remember to express the area in square units (e.g., square meters, square feet, square inches).
• 💡 Tip: Make sure the length and width are in the same units before calculating the area. If not, convert them first!

Practice Quiz

1. What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
   1. 25 sq cm
   2. 50 sq cm
   3. 100 sq cm
   4. 15 sq cm
2. A rectangle has a length of 12 meters and a width of 8 meters. What is its area?
   1. 96 sq meters
   2. 20 sq meters
   3. 48 sq meters
   4. 192 sq meters
3. The area of a rectangle is 63 sq inches. If the length is 9 inches, what is the width?
   1. 7 inches
   2. 8 inches
   3. 6 inches
   4. 54 inches
4. What is the area of a square with sides of 7 feet? (Hint: A square is a special type of rectangle.)
   1. 14 sq feet
   2. 28 sq feet
   3. 49 sq feet
   4. 343 sq feet
5. A rectangular garden is 15 feet long and 10 feet wide. What is the area of the garden?
   1. 25 sq feet
   2. 50 sq feet
   3. 150 sq feet
   4. 300 sq feet
6. If a rectangle has a length of 20 cm and a width that is half of its length, what is the area?
   1. 200 sq cm
   2. 400 sq cm
   3. 60 sq cm
   4. 100 sq cm
7. A rectangle has an area of 84 sq meters and a width of 6 meters. What is the length of the rectangle?
   1. 12 meters
   2. 14 meters
   3. 16 meters
   4. 18 meters