Question

the area of a trapezium is 560cm square and perpendicular distance between the parallel sides is 14cm. if one of the sides is longer than other by 8cm. find the length of parallel sides.​

Answer 1

Answer:

The length of parallel sides are 44 cm and 36 cm.

Step-by-step explanation:

Given:-

        The area of a trapezium is 560cm²

        Perpendicular distance between the parallel sides is 14cm.

Let us consider one parallel side = x

one of the sides is longer than other by 8cm.

so , other parallel side $=x-8$

Trapezium area can be calculated by using the below formula:

Area =$\frac{1}{2}$(distance between parallel sides) (Sum of the length of parallel sides/bases of the trapezium)

                 $560= (\frac{1}{2} )\cdot h \cdot (a+b)\\ \\560 = (\frac{1}{2} )\cdot 14 \cdot (x+x-8)\\ \\ 560= (\frac{1}{2} )\cdot 14 \cdot (2x-8)\\ \\ 560= 7\cdot(2x-8)\\ \\ 560=14x-56\\ \\ 14x=560+56\\ \\ 14x=616\\ \\ x=\frac{616}{14} \\ \\ x=44$

Another Parallel side $=x-8=44-8=36$