The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is
(a) 124 cm²
(b) 118 cm²
(c) 128 cm²
(d) 112 cm²

Solution:

The Area of a Trapezium(A) = (1/2) × (Sum of Parallel Sides) × Height

The perimeter of trapezium(P) = Sum of all four sides

P = 52 cm

The sum of parallel sides = Perimeter - (sum of non-parallel sides)

The sum of parallel sides = 52 - (10 + 10) = 32 cm

Hence,

Area of Trapezium (A) = (1/2) × (32) × 8 = 128 cm²

The answer is choice ( c )

✦ Try This: The perimeter of a trapezium is 60 cm and its each non-parallel side is equal to 12cm with its height 10 cm. Its area is (a) 124 cm², (b) 160 cm², (c) 128 cm², (d) 180 cm²

The Area of a Trapezium(A) = (1/2) × (Sum of Parallel Sides) × Height

The perimeter of trapezium(P) = Sum of all four sides

P = 60 cm

The sum of parallel sides = Perimeter - (sum of non-parallel sides)

The sum of parallel sides = 60 - (12 + 12) = 36 cm

Hence,

Area of Trapezium (A) = (1/2) × (36) × 10 = 80 cm²

The answer is choice ( d )

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

NCERT Exemplar Class 8 Maths Chapter 11 Problem 19

The perimeter of a trapezium is 52 cm and its non-parallel side is equal to 10 cm with its height 8 cm. Its area is (a) 124 cm² (b) 118 cm² (c) 128 cm² (d) 112 cm²

Summary:

The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is 128cm²

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