Question

Find the area of tapezium EFGH having measurement as shown in the figure​

Answer 1

Answer:

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Step-by-step explanation:

Area of trapezium EFGH =  

Step-by-step explanation:

Given,

EFGH is a trapezium.

In triangle EFG,

∠EFG = 90°

By Applying Pythagoras Theorem

Taking square root on both sides,

EF = 12 cm

⇒Height of trapezium EFGH = 12 cm

Area of trapezium EFGH =  

                                        =

                                        =

Answer 2

EF = √EG²- FG² (by the Pythagorus theorem)

EF = √144

EF = 12cm

Now, Area of Trapezium = 1/2 x Sum of parallel sides x height

Area of Trapezium = 1/2 x 23 + 35 x 12 ( EF is the height)

Area of the Trapezium = 58 x 6

= 348cm²

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