Area and Perimeter Unit Test

Answer 1

1. Find the area of a rectangle with length 5 cm and width 3 cm.

2. Find the perimeter of a square with sides measuring 8 cm.

3. A rectangular field has a length of 12 meters and a width of 8 meters. What is the area of the field?

4. A circle has a radius of 6 cm. What is the perimeter of the circle? (Use 3.14 for π)

5. Find the area of a triangle with base 10 cm and height 6 cm.

6. A square garden has a perimeter of 20 meters. What is the length of one side of the garden?

7. The circumference of a circle is 36π cm. What is the radius of the circle?

8. A rectangular swimming pool has a length of 20 meters and a width of 10 meters. What is the perimeter of the pool?

9. Find the area of a trapezoid with bases measuring 4 cm and 8 cm, and a height of 5 cm.

10. A circular pizza has a diameter of 12 inches. What is the area of the pizza? (Use 3.14 for π)

Answers:
1. Area = length x width
Area = 5 cm x 3 cm
Area = 15 cm²

2. Perimeter = 4 x side
Perimeter = 4 x 8 cm
Perimeter = 32 cm

3. Area = length x width
Area = 12 m x 8 m
Area = 96 m²

4. Perimeter = 2πr
Perimeter = 2 x 3.14 x 6 cm
Perimeter = 37.68 cm

5. Area = 0.5 x base x height
Area = 0.5 x 10 cm x 6 cm
Area = 30 cm²

6. Perimeter = 4 x side
20 meters = 4 x side
Side = 5 meters

7. Circumference = 2πr
36π = 2 x 3.14 x r
r = 18 cm

8. Perimeter = 2(length + width)
Perimeter = 2(20 m + 10 m)
Perimeter = 60 m

9. Area = 0.5 x (base1 + base2) x height
Area = 0.5 x (4 cm + 8 cm) x 5 cm
Area = 30 cm²

10. Area = πr²
Radius = 12 inches / 2 = 6 inches
Area = 3.14 x 6²
Area = 113.04 inches²