Question

The area of a trapezium is 625 sq cm. Its height is 20 cm. If one of the parallel sides is
15 cm then find the other side.

Answer 1

Answer:

A/

Step-by-step explanation:

Area of trapezium field = 1440 m

2

Height of field = 24 cm

Ratio of parallel sides 5 : 3

Let the sides be 5x and 3x.

We know that,

Area of trapezium =

2

1

(Surn of parallel side) × Height

1440 =

2

1

(5x + 3x) × 24 ⇒

24

1440×2

= (5x + 3x)

120 = 8x ⇒ = 15

Hence, longer side = 5 × 15 = 75 cm

Answer 2

Answer:

$area \: of \: trapezium = \frac{1}{2} h (x + y)$

$625 = \frac{1}{2}\times20\times(15 + y) \\ \\ \\ \frac{625}{10} = 15 + y \\ 62.5 - 15 = y \\ y = 47.5cm$