Question

Area of trapezium is 1024 cm square lenghth of the parallel sides are 68cm and 60cm. Find the perpendicular distance between their parallel sides

Answer 1

Answer:

60 cm

Step-by-step explanation:

Let the other parallel side be x .

We know that the area of trapezium is given by the formula :-

\begin{gathered}\frac{1}{2}(sum\:of\:parallel\:sides)\times height\\\\\frac{1}{2}(x+68)(16)=1024\\\\\implies x+68=\frac{1024}{8}\\\\\implies x+68=128\\\\\implies x=128-68\\\\\implies x=60\end{gathered}

2

1

(sumofparallelsides)×height

2

1

(x+68)(16)=1024

⟹x+68=

8

1024

⟹x+68=128

⟹x=128−68

⟹x=60

The length of the other side is 60 cm.