## 1. The area of a parallelogram is the product of its:

### Answer:

### Explanation:

Area of a parallelogram = Base x Height.

## 2. Triangles on the same base and between the same parallels have:

### Answer:

### Explanation:

Triangles on the same base and between the same parallels always have equal areas.

## 3. The height of a parallelogram is:

### Answer:

### Explanation:

The height is always perpendicular to the base, representing the shortest distance between the opposite sides.

## 4. If two triangles have equal areas, they must also have:

### Answer:

### Explanation:

Two triangles can have equal areas without necessarily having equal bases, heights, or angles.

## 5. If the base of a triangle is doubled keeping the height same, its area:

### Answer:

### Explanation:

Since Area = 1/2 x Base x Height, doubling the base doubles the area.

## 6. In a parallelogram, if the base is 'b' and the height is 'h', its area is:

### Answer:

### Explanation:

The area of a parallelogram is the product of its base and height.

## 7. A triangle and a parallelogram have the same base and same height. If the area of the triangle is 'A', the area of the parallelogram is:

### Answer:

### Explanation:

The area of a triangle is half the product of its base and height. Thus, the parallelogram's area is double that of the triangle.

## 8. Which of the following can have the maximum area?

### Answer:

### Explanation:

For a given perimeter, a parallelogram can have a larger area than a triangle.

## 9. A rhombus is a type of:

### Answer:

### Explanation:

A rhombus is a special type of parallelogram with all sides equal.

## 10. If the base of a triangle is increased by 10% and height is decreased by 10%, the area:

### Answer:

### Explanation:

The net percentage change in area is 0% when base increases by 10% and height decreases by 10%.

## 11. The diagonals of a rectangle divide it into:

### Answer:

### Explanation:

The diagonals of a rectangle bisect each other and divide the rectangle into four congruent triangles.

## 12. If two parallelograms have the same base and are between the same parallels, they have:

### Answer:

### Explanation:

Parallelograms with the same base and between the same parallels have equal areas.

## 13. The formula to find the area of a triangle when its semi-perimeter and lengths of its three sides are known (Heron's formula) is:

### Answer:

### Explanation:

Heron's formula gives the area of a triangle as √s(s-a)(s-b)(s-c) where s is the semi-perimeter.

## 14. The ratio of the areas of two similar triangles is equal to the square of the ratio of their:

### Answer:

### Explanation:

If the ratio of the sides of two similar triangles is k, then the ratio of their areas is k^2.

## 15. If the corresponding altitudes of two similar triangles are in the ratio 3:4, the ratio of their areas is:

### Answer:

### Explanation:

The areas of similar triangles are proportional to the squares of the corresponding altitudes. So, their area ratio is same as that of their altitudes.

## 16. The area of a triangle with base 'b' and height 'h' is:

### Answer:

### Explanation:

The formula for the area of a triangle is 1/2 multiplied by the product of its base and height.

## 17. If a parallelogram and a rectangle have the same base and area, they also have the same:

### Answer:

### Explanation:

If they have the same base and same area, their height must also be the same.

## 18. The height of a parallelogram is 6 cm and its base is 8 cm. Its area is:

### Answer:

### Explanation:

Area = Base x Height = 6 cm x 8 cm = 48 cm^2.

## 19. The area of a triangle will be zero if its:

### Answer:

### Explanation:

A triangle's area is 1/2 × Base × Height. If height is zero, the area will also be zero.

## 20. Which of the following figures has the least area for a given perimeter?

### Answer:

### Explanation:

Among all the shapes with a given perimeter, a circle has the maximum area.