Question

the area of trapezium is 352 CM square and the distance between is parallel sides in 16cm full stop if one of the parallel side is of length 25 cm find the length of other

Answer 1

let the remaining side be 'y'
area of trapezium=
$(1 \div 2)(x + y)height$
352=0.5× (25+y) 16
352= 8×(25+y)
25+y=352÷8
y=44-25
y= 19

Answer 2

Given:

The area of a trapezium is 352 Square centimetres and the distance between two parallel sides is 16cm. The length of the parallel side is 25 cm.

To find:

The length of the other parallel side.

Solution:

As we know that in a trapezium having p1 and p2 two parallel sides and 'd' is the distance between two parallel sides, then the area of a trapezium is given by:

$area \: = \frac{1}{2} (p1 + p2)(d)$

Now,

as given,

The area of a trapezium

$= 352 \: {cm}^{2}$

Length of one parallel side = 25 cm

Distance between two parallel sides = 16 cm

Let p be the other parallel side

So,

$\frac{1}{2} (25 + p)(16) = 352$

On solving, we get

$(25 + p) \times 8 = 352$

$25 + p = \frac{352}{8}$

$25 + p = 44$

$p = 19 cm$

Hence, the length of the other parallel side is 19 cm.