How many scalene triangles with integral sides have have a perimeter of 20cm?

Hi

In the figure attached,
find the ratio of the area of the shaded figure to area of the rectangle
by mass point geometry and other methods. the points on the sides are mid points. Ignore
the rest of the data and the question.

http://s30.postimg.org/9b95pbhgh/10155790_311998665663362_7541606927120857803_n.jpg

A regular octagon has side of length 8 1/2. Then the perimeter of rectangular joined by four edges

Options:

1.18.31

2.19.31

3.20.31

4.21.31

Correct answer 2 Can anybody pls explain?

Thanks

Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of adjacent side of another square field of side 20sqrt2. What is the total grazing area of two goats?

ABCD is a square of a side is 10 units.There are four point p,q,r,s inside the square that triangle ABP,BCQ,CDR and DAS(triangle) are equilateral triangle .Find the area in(Sq unit) of a quadrilateral PQRS?

(1)100(rt3-1)

(2)100(2-rt3)

(3)100(2rt3-1)

(4)20(2-rt3)

Find the area of a pentagon whose vertices are (-1,0),(5,0),(6,2),(2,5)and(-3,1)?

(1).27.5

(2)28

(3)27

(4)24.5

In a trianlge ABC, the points B,C orthocenter O and the incenter I are concyclic. If the four points are distict, find the measure of A?

a)30 deg b)45 deg c)60 deg d)90 deg e) CBD

approach?

Can somebody explain to me what is the meaning of the 2 triangles being **equivalent** in this image .

I mean what is the meaning of the word equivalent ?? Does it means that the two triangles are congruent or having the same area or something else ??

P.S : [T] means a trapezium.

This snap shot is from the properties of the trapezium

The non-parallel sides of a trapezium of perimeter 34 cm are equal. The line segment joining the mid-points of the non-parallel sides is 12 cm. If the ratio of the area of the trapezium above this line to the area of the trapezium below this line is 7:9, what is the area of the trapezium?