Attempt following question by selecting a choice to answer.
B
What is the perimeter of
ΔAED, if the area of the parallelogram
ABCD is
24 cm2?fff BBBA.
B15 cm
B.
B30 cm
C.
B12 cm
D.
B10 cm
BB
C
Step 1: Area of the parallelogram ABCD = base × height= AB × DE
Step 2: [Substitute area of the parallelogram = 24 and DC = AB = 6.]24 = 6 × DE
Step 3: Height = DE = areaAB
= 246 = 4
Step 4: Perimeter of ΔAED = AD + DE + AE
Step 5: AE = AB - BE[Substitute AB = 6 and BE = 3.]AE = 6 - 3 = 3 cm
Step 6: ADE is a right triangle, so AD2 = DE2 + AE2[Substitute DE = 4 and AE = 3.]AD2 = 42 + 32
Step 7: [Simplify.]= 16 + 9 = 25
Step 8: [Take square root on both sides]AD = 5 cm
Step 9: So, perimeter of ΔADE = 5 + 4 + 3 = 12 cm[Substitute the values of AD, DE and AE.]