Question

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Answer 1

The area of ABCD is 640 cm²

What is similarity in trapezoid?

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

Learn more about this concept here:

brainly.com/question/23602236

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