Question

The area of trapezium is475cm square and the hight is19cm find the lenth of its parallel side if one side is 4cm greater than other

Answer 1

Solution :

Let the length of one parallel sides of trapezium be 'x'.

So, the length of other parallel side = x + 4

Given,

The area of trapezium = 475 cm^2

Height of the trapezium = 19 cm

By applying the formula of the area of trapezium,

Area of trapezium = 1/2 × Height × Sum of parallel sides

=> 1/2 × 19 × [ x + ( x + 4 ) ] = 475

=> 2x + 4 = 475 × 2 / 19

=> 2x + 4 = 25 × 2

=> 2x + 4 = 50

=> 2x = 50 - 4

=> 2x = 46

=> x = 46 / 2

=> x = 23

.°. x = 23

.°. Length of smaller parallel side of the trapezium = x = 23 cm

and, length of other parallel side of trapezium = x + 4 = 23 + 4 = 27 cm