Question

If the are of trapezium is 286 sq.cm and its height is 13cm what is the sum of its parallel sides ? If one of these side is 20cm what is the lenght of the other

Answer 1

Answer:

Length of Other side = 24 cm

Sum of Parallel Sides = 44 cm

Step-by-step explanation:

We know that,

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

Now, we are given,

Area = 286 cm²

h = 13 cm

According to our above equation,

286 cm² = (1/2)(a + b)(13)

where (a + b) is the sum of parallel sides

286 = (13/2)(a + b)

286 × 2 = 13(a + b)

572 = 13(a + b)

a + b = 572/13

a + b = 44 cm

Hence,

Sum of Parallel Sides = 44 cm

But we are given,

One of the side = 20 cm

Then,

a + 20 = 44

a = 44 - 20

a = 24 cm

Hence,

Length of Other side = 24 cm

Sum of Parallel Sides = 44 cm

Hope it helped and believing you understood it....All the best