Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Very Short Answer Type Questions- Areas of Parallelograms and Triangles
Class 9 Maths Question Answers - Areas of Parallelograms
Question 1. Find the area of trapezium PQRS given in the figure.
Solution: Area of trapezium PQRS = ar (||gm PQXS) + ar (rt ΔQRX)
= (4 x 4)cm2 + (1/2) x 3 x 4) cm 2
= 16 cm2 + 6 cm2
= 22 cm2
Question 2. Adjacent sides of a rectangle are 16 cm and 8 cm. Find the area of the rectangle.
Solution: Area of ractangle
= Length x Breadth= Product of adjacent sides
= 16 cm x 8 cm = 128 cm2
Question 3. A pair of parallel sides of a parallelogram measure 10 cm each. The perpendicular distance between them is 6 cm. What is the area of the parallelogram
Solution: Area of a ||gm = Base x Altitude
= 10 cm x 6 cm = 60 cm2
The document Class 9 Maths Question Answers - Areas of Parallelograms is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Class 9 Maths Question Answers - Areas of Parallelograms
| 1. What is the formula to calculate the area of a parallelogram? |  |
Ans. The formula to calculate the area of a parallelogram is base multiplied by the height, i.e., Area = base × height.
| 2. How is the area of a triangle different from the area of a parallelogram? | |
Ans. The area of a triangle is half the area of a parallelogram with the same base and height. This can be represented as Area of triangle = 1/2 × base × height.
| 3. Can the area of a parallelogram be negative? | |
Ans. No, the area of a parallelogram cannot be negative as it represents the extent of a two-dimensional shape and cannot have a negative value.
| 4. What are the units of measurement for the area of parallelograms and triangles? | |
Ans. The units of measurement for the area of parallelograms and triangles can vary based on the given dimensions. Common units include square centimeters (cm²), square meters (m²), square inches (in²), etc.
| 5. Can we use the diagonal to calculate the area of a parallelogram? | |
Ans. No, the diagonal cannot be used directly to calculate the area of a parallelogram. The area is determined by the base and height, which are perpendicular to each other. The diagonal can be used to find the lengths of the sides or other measurements, but not the area.
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