The area of a trapezium become 4 times if its height gets doubled. Is the given statement true or false

Solution:

The area of a trapezium = 1/2 × (sum of parallel sides) × height(h)

If the height of the trapezium is doubled the area of trapezium will become:

The new area of trapezium = 1/2 × (sum of parallel sides) × 2[height(h)]

= 2 × [1/2 × (sum of parallel sides) × height(h)]

= 2 × [original height of trapezium]

Hence the area of the trapezium will get doubled.

The statement is therefore false.

✦ Try This: The area of a trapezium become 4 times if its height and parallel sides gets doubled. Is the given statement true or false

The area of a trapezium = 1/2 × (sum of parallel sides) × height(h)

If Parallel sides are doubled and height is doubled the new area is given by

The new area of trapezium = 1/2 × 2(sum of parallel sides) × 2[height(h)]

The new Area of trapezium = 4 × [1/2 × (sum of parallel sides) × height(h)]

The new Area of trapezium = 4 × [Original area of the trapezium]

Therefore the statement is True.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 57

The area of a trapezium becomes 4 times if its height gets doubled. Is the given statement true or false

Summary:

The area of a trapezium becomes 4 times if its height gets doubled.The statement is false

☛ Related Questions:

• A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have e . . . .
• Two cylinders with equal volume will always have equal surface areas. Is the given statement true or . . . .
• The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 . . . .