# Hexagon - MO

The picture shows the ABCD square, the EFGD square and the HIJD rectangle. Points J and G lie on the side CD and is true |DJ| <|DG| and the points H and E lie on the DA side, with the |DH| < |DE|. We also know that |DJ| = |GC|. The hexagon ABCGFE has a perimeter 96 cm and hexagon EFGJIH having a perimeter 60 cm and a rectangle HIJD have perimeter 28 cm. Find the area of the hexagon EFGJIH.

Result

S =  180 cm2

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

## Next similar examples:

1. 6-gon
Perimeter of regular hexagon is 113. Calculate its circumradius (radius of circumscribed circle).
2. 3x square
Side length of the square is 54 cm. How many times increases the content area of square if the length of side increase three times?
3. Perimeter of square
The square has a circumference 17cm. What is its area?
4. Areaf of ST
It is given square DBLK with side |BL|=13. Calculate area of triangle DKU if vertex U lie on line LB.
5. Trapezium 2
Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
6. Decide
The rectangle is divided into seven fields. On each box is to write just one of the numbers 1, 2 and 3. Mirek argue that it can be done so that the sum of the two numbers written next to each other was always different. Zuzana (Susan) instead argue that.
7. Two circles
Two circles with a radius 4 cm and 3 cm have a center distance 0.5cm. How many common points have these circles?
8. MO 2016 Numerical axis
Cat's school use a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm and so on, the distance between the next pair of natural numbers is always in
9. Sidewalk
The city park is a circular bed of flowers with a diameter of 8 meters, around it the whole length is 1 meter wide sidewalk . What is the sidewalk area?
10. Annulus
The radius of the larger circle is 8cm, the radius of smaller is 5cm. Calculate the contents of the annulus.
11. Triangle ABC
Construct a triangle ABC is is given c = 60mm hc = 40 mm and b = 48 mm analysis procedure steps construction
12. 22/7 circle
Calculate approximately area of a circle with radius 20 cm. When calculating π use 22/7.
13. Equation
?
14. Cakes
Grandmother baked cakes. Half of its was poppy, quarter with plum jam and 16 cheesecakes. How many cakes she baked in total?
15. Sales off
Calculate what was the original price of the good, if the price after discount 25% and the subsequent rise of 20% is 400 USD.
16. Three digits number 2
Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one positions is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
17. One-third
A one-third of unknown number is equal to five times as great as the difference of the same unknown number and number 28. Determine the unknown number.