Polygons

2010006705

Level: 
A
The perimeter of a rectangle is \(22\, \mathrm{cm}\). The diagonal of this rectangle is \(\sqrt{65}\, \mathrm{cm}\). Find the sides of the rectangle.
\(7\, \mathrm{cm}\) and \(4\, \mathrm{cm}\)
\(14\, \mathrm{cm}\) and \(8\, \mathrm{cm}\)
\(6\, \mathrm{cm}\) and \(5\, \mathrm{cm}\)
\(10\, \mathrm{cm}\) and \(1\, \mathrm{cm}\)

2000006008

Level: 
C
The trapezoid \(KLMN\) has bases \(15\,\mathrm{cm}\) and \(10\,\mathrm{cm}\) long. The point \(T\) is any point of the longer base. The area of the triangle \(MNT\) is \(40\,\mathrm{cm}^2\). What is the area of the trapezoid \(KLMN\)?
\(100\,\mathrm{cm}^2\)
\(80\,\mathrm{cm}^2\)
\(120\,\mathrm{cm}^2\)
\(50\,\mathrm{cm}^2\)

2000006006

Level: 
B
The bases of the trapezoid \(KLMN\) are \(12\,\mathrm{cm}\) and \(4\,\mathrm{cm}\) long. The area of the triangle \(KMN\) is \(9\,\mathrm{cm}^2\). What is the area of the trapezoid \(KLMN\)?
\(36\,\mathrm{cm}^2\)
\(72\,\mathrm{cm}^2\)
\(18\,\mathrm{cm}^2\)
\(40\,\mathrm{cm}^2\)

2000006004

Level: 
C
In the parallelogram \(ABCD\), the side \(AB\) is \(10\,\mathrm{cm}\) long, the diagonal \(AC\) measures \(15\,\mathrm{cm}\). The distance of the vertex \(D\) from the diagonal \(AC\) is \(2\,\mathrm{cm}\). What is the distance of the vertex \(D\) from the side \(AB\)?
\(3\,\mathrm{cm}\)
\(4\,\mathrm{cm}\)
\(5\,\mathrm{cm}\)
\(6\,\mathrm{cm}\)