Question

The shape of a table top shape is in the form of trapeziums whose area is 34 cm sq. The length of one of its parallel side is 10 cm and distance between parallel side is 4cm . Find the length of the other parallel side.

pls tell answer with explanation

Answer 1

The length of the other parallel side of the trapezium is 7cm.

Given,

           area of trapezium= 34 cm

           length of one of the parallel side= 10 cm

           distance between parallel sides of trapezium= height= 4cm

To find,

           length of the other parallel side of the trapezium

Solution,

To get the length of the second parallel side of the trapezium, assume that it is x cm.

Now,

As we know, area of trapezium = $\frac{1}{2} (sum of parallel sides) * height$

                                                34 = $\frac{1}{2} (10+x)*4$  (Putting the value in cm)

                                              34*2= (10+x)*4

                                               $\frac{34*2}{4}$ = (10+x)

                                                  17= 10+x

                                                   x = 7 cm

As a result, the opposite parallel side is 7 cm long.

Note: Make sure you're using the correct unit throughout your answer.