Test questions for area of rectangles and triangles Grade 7 math.

📚 Quick Study Guide

• 📐 Area of a Rectangle: The area of a rectangle is found by multiplying its length ($l$) by its width ($w$). The formula is: $A = l \times w$.
• 📏 Units: Remember to express the area in square units (e.g., $cm^2$, $m^2$, $in^2$).
• 📊 Area of a Triangle: The area of a triangle is calculated by multiplying half of its base ($b$) by its height ($h$). The formula is: $A = \frac{1}{2} \times b \times h$.
• ⬆️ Height: The height of a triangle is the perpendicular distance from the base to the opposite vertex.
• 🧮 Right Triangles: In a right triangle, the two sides forming the right angle can be considered as the base and height.
• 💡 Tips: Always double-check your units and make sure to use the correct formula for each shape!

📝 Practice Quiz

1. What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
   1. 26 $cm^2$
   2. 40 $cm^2$
   3. 13 $cm^2$
   4. 85 $cm^2$
2. A triangle has a base of 10 inches and a height of 7 inches. What is its area?
   1. 17 $in^2$
   2. 70 $in^2$
   3. 35 $in^2$
   4. 50 $in^2$
3. What is the area of a square with sides of 6 m?
   1. 12 $m^2$
   2. 24 $m^2$
   3. 36 $m^2$
   4. 48 $m^2$
4. A rectangle has an area of 48 $cm^2$ and a width of 4 cm. What is its length?
   1. 8 cm
   2. 12 cm
   3. 16 cm
   4. 24 cm
5. A right triangle has legs of length 5 inches and 12 inches. What is its area?
   1. 17 $in^2$
   2. 30 $in^2$
   3. 60 $in^2$
   4. 34 $in^2$
6. What is the area of a triangle with a base of 9 cm and a height of 6 cm?
   1. 15 $cm^2$
   2. 27 $cm^2$
   3. 54 $cm^2$
   4. 36 $cm^2$
7. A rectangular garden is 15 meters long and 8 meters wide. What is the area of the garden?
   1. 23 $m^2$
   2. 120 $m^2$
   3. 60 $m^2$
   4. 110 $m^2$