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d1i1m1o1n [39]
3 years ago
12

Quadrilateral ABCD is similar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 4

0 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 4th side on quadrilateral ABCD?

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0

Answer: 15 feet

Step-by-step explanation:

Given: Quadrilateral ABCD is similar to quadrilateral EFGH.

If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long.

Let x be the shortest side of quadrilateral ABCD .

The measurement of sides of  quadrilateral ABCD arranged in order :-

60 feet , 40 feet, 30 feet and x feet.

We know that the corresponding sides of two similar polygons are proportional.

⇒ The two shortest sides of quadrilateral ABCD is proportional to the two proportional sides of quadrilateral EFGH.

⇒\dfrac{6}{12}=\dfrac{x}{30}\\\\\Rightarrow\ x=\dfrac{30\times6}{12}=15

Hence, the length of the 4th sides of quadrilateral ABCD = 15 feet.

Alexandra [31]3 years ago
7 0
Check the picture below.

solve for "x".

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