Practice Set 15.1 8th Std Maths Answers Chapter 15 Area
Question 1
Maharashtra Board Solution
If base of a parallelogram is 18 cm and its height is 11 cm, find its area.
Solution & Step-by-Step Answer:
Given, base = 18 cm, height = 11 cm Area of a parallelogram = base × height = 18 × 11 = 198 sq.cm ∴ Area of the parallelogram is 198 sq.cm.
Question 2
Maharashtra Board Solution
If area of a parallelogram is 29.6 sq. cm and its base is 8 cm, find its height.
Solution & Step-by-Step Answer:
Given, area of a parallelogram = 29.6 sq.cm, base = 8 cm Area of a parallelogram = base × height ∴ 29.6 = 8 × height ∴ height = = 3.7 cm ∴ Height of the parallelogram is 3.7 cm.
Question 3
Maharashtra Board Solution
Area of a parallelogram is 83.2 sq.cm. If its height is 6.4 cm, find the length of its base.
Solution & Step-by-Step Answer:
Given, area of a parallelogram = 83.2 sq.cm, height = 6.4 cm Area of a parallelogram = base × height ∴ 83.2 = base × 6.4 ∴ base = = 13 cm ∴ The length of the base of the parallelogram is 13 cm.
Maharashtra Board Class 8 Maths Chapter 15 Area Practice Set 15.1 Intext Questions and Activities
Question 1
Maharashtra Board Solution
Draw a big enough parallelogram ABCD on a paper as shown in the figure. Draw perpendicular AE on side BC. Cut the right angled ∆AEB. Join it with the remaining part of ₹ABCD as shown in the figure. The new figure formed is a rectangle. The rectangle is formed from the parallelogram. So, areas of both the figures are equal. Base of parallelogram is one side (length) of the rectangle and its height is the other side (breadth) of the rectangle. ∴ Area of a parallelogram = base × height (Textbook pg. no.94)
Solution & Step-by-Step Answer:
Draw a big enough parallelogram ABCD on a paper as shown in the figure. Draw perpendicular AE on side BC. Cut the right angled ∆AEB. Join it with the remaining part of ₹ABCD as shown in the figure. The new figure formed is a rectangle. The rectangle is formed from the parallelogram. So, areas of both the figures are equal. Base of parallelogram is one side (length) of the rectangle and its height is the other side (breadth) of the rectangle. ∴ Area of a parallelogram = Area of a rectangle = length × breadth = base × height