Question

find the perimeter of trapezium with height 3 cm and area 54CM sq and the sum of its non parallel sides is 13centimetre.
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Answer 1

Answer:

A(trapezium)=1/2(a+b)oh

64 =1/2 ((a÷b)x3

64x2/3,=a+b

36=a+b

perimeter =sum of all side

=two parallel siides +two non parallel sides

=36+13

=49

Answer 2

Answer:

49 cm

Step-by-step explanation:

Given:

• height = 3cm

• Area = $54^{2} cm$

• Sum of non parallel sides =  13cm

Find:

• Perimeter of trapezium

Solution:

Area of trapezium = $1\\ 2$ x height x sum of parallel sides

                     54 = $1\\ 2$ x 3 x (sum of parallel sides)

                     54 = $3\\ 2$  x (sum of parallel sides)

sum of parallel sides = 54*2

                                   3

                                =108

                                   3

                                 = 36cm

Perimeter of trapezium = sum of all sides

                                    = sum of non parallel sides + sum of parallel sides

                                   = 36 + 13cm

                                   = 49cm