The area of ABCD is 640 cm²
<h3>What is similarity in trapezoid?</h3>
In order for two trapezoids to be similar their corresponding sides must have the same ratio. Since the largest base length in the image is and the corresponding side is , the other base must also be times greater than the corresponding side.
Given:
EF= 5 cm
AB = 20cm
Area of EFGH = 40 sq cm
Now,
As both trapezoid are similar. So, their corresponding sides must have the same ratio
EF/ AB= BC/ FG= CD/ HG= HE/ DA
So,
area (EFGH) : area(ABCD) = (EF/ AB)²
40 : area(ABCD)= (5/ 20)²
40 : area(ABCD) = 1/16
area (ABCD) =640 cm²
Hence, Area of trapezoid ABCD = 640 cm²
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