Question

If the area of a trapezium is 48 cm² and the distance between parallel sides is 8 cm, then the sum of the parallel sides is​

Answer 1

Answer:

Sum of parallel sides = 12 cm

Step-by-step explanation:

Are aof trapezium = [h(a + b)]/2    (h = height, a + b = sum of parallel sides)

=> [8(a + b)]/2 = 48 cm²

=> 8(a + b) = 48*2 => 96 cm²

∴ (a + b) = Sum of parallel sides = 96/8 => 12 cm

Answer 2

Given : Area of trapezium = 48 cm²

Distance between parallel sides = 8 cm

To find : sum of the parallel sides

Solution :

We know that,

Area of trapezium = ½ [sum of parallel sides] × Distance between two parallel sides

A = ½ [(a + b)] × h

[h = height, (a + b) = sum of parallel sides]

48 cm² = ½ [(a + b)] × 8

48 cm² = [(a + b)] × 4

(a + b) = 48/4

(a + b) = 12 cm

Hence, Sum of parallel sides is 12 cm.

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