The diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimete
r of the rectangle if AB=8cm.
1 answer:
Step-by-step explanation:
AO = DO
2x+3 = 5x
3 = 5x-2x
3 = 3x
x = 1
DO = 5(1)=5cm
AC = 2×5 = 10cm
BC =√10²-8²
= √100-64
=√36
=6 cm
therefore, the perimeter of the rectangle
= 2×(8+6) = 2(14) = 28 cm
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