Question

The area of a trapezium is 56 sq cm and the height is 4 cm. Find the lengths of its two parallel sides if one side is 4 cm greater than the other.

Answer 1

EXPLANATION.

• GIVEN

Area of a Trapezium = 56sq cm

Height = 4 cm

if one side is 4 cm greater then the other.

Let one side = x

other side is = x + 4

TO FIND LENGTH OF ITS TWO PARALLEL SIDES.

Formula of area of Trapezium =

$\frac{1}{2} \times (sum \: of \: \parallel \: sides) \times (distance)$

1/2 X ( x + x + 4 ) X 4 = 56

1/2 X ( 2x + 4 ) X 4 = 56

( 2x + 4 ) X 2 = 56

4x + 8 = 56

4x = 56 - 8

4x = 48

x = 12

one sides = 12 cm

other sides = x + 4 = 12 + 4 = 16 cm