Răspuns:
5. d) ; 6. b)
Explicație pas cu pas:
5)
BM = AB - AM = 8 - 2 = 6 cm
CN = BC - BN = 6 - 2 = 4 cm
AQ = AD - DQ = 6 - 2 = 4 cm
DP = CD - CP = 8 - 2 = 6 cm
Aria(AMQ) = Aria(CNP) = ½•AM×AQ = ½•2•4 = 4 cm²
Aria(BNM) = Aria(DPQ) = ½•BN•BM = ½•2×6 = 6 cm²
Aria(ABCD) = AB × BC = 8 × 6 = 48 cm²
Aria(MNPQ) = Aria(ABCD) - [Aria(AMQ) + Aria(CNP) + Aria(BNM) + Aria(DPQ)] = 48 - (2•4 + 2•6) = 48 - (8 + 12) = 48 - 20 = 28 cm²
[tex]\frac{Aria_{MNPQ}}{Aria_{ABCD}} = \frac{28}{48} = \bf \frac{7}{12} \\ [/tex]
6) în imagine
