http://www.ck12.org Chapter 10. Perimeter and Area
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- QuadrilateralABCDhas verticesA(− 2 , 0 ),B( 0 , 2 ),C( 4 , 2 ), andD( 0 ,− 2 ). Show thatABCDis a trapezoid and
find its area.Leave your answer in simplest radical form. - QuadrilateralEF GHhas verticesE( 2 ,− 1 ),F( 6 ,− 4 ),G( 2 ,− 7 ), andH(− 2 ,− 4 ). Show thatEF GHis a
rhombus and find its area. - The area of a rhombus is 32units^2. What are two possibilities for the lengths of the diagonals?
- The area of a kite is 54units^2. What are two possibilities for the lengths of the diagonals?
- Sherry designed the logo for a new company. She used three congruent kites. What is the area of the entire
logo?
For problems 25-27, determine what kind of quadrilateralABCDis and find its area.
25.A(− 2 , 3 ),B( 2 , 3 ),C( 4 ,− 3 ),D(− 2 ,− 1 )
26.A( 0 , 1 ),B( 2 , 6 ),C( 8 , 6 ),D( 13 , 1 )
27.A(− 2 , 2 ),B( 5 , 6 ),C( 6 ,− 2 ),D(− 1 ,− 6 )- Given that the lengths of the diagonals of a kite are in the ratio 4:7 and the area of the kite is 56 square units,
find the lengths of the diagonals. - Given that the lengths of the diagonals of a rhombus are in the ratio 3:4 and the area of the rhombus is 54
square units, find the lengths of the diagonals.