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.
⇒
Hence, the length of the 4th sides of quadrilateral ABCD = 15 feet.
First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)
Then find the area of one of the triangles:
Area of Triangle =
A = × 4 × 10
A = 20 m²
To find the area of the whole pentagon shape:
A = 20 × 5 = 100 m²
<em>Hope it helps!</em>
