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Question
Answer
DinoNumbers
Prior deductions:
Area of square ABDE effectively = BD x BD
Area of triangle ABC = 1/2 x BD x BD = 1/2 of square ABDE.
Plugging in numerical information,
Area of triangle ABC = Area of triangle ABF + Area of triangle BFC
= 1/6 of square ABDE + 48
1/2 of square ABDE = 1/6 of square ABDE + 48
3/6 of square ABDE = 1/6 of square ABDE + 48
2/6 of square ABDE = 48
6/6 of square ABDE = 48 * 3 = 144
Length of square ABDE = sq root of 144 = 12cm
sushi88
From the diagram, using area of triangle 1/2 b x h on the triangle on the right with stripes,
(1/2)(1/3)u (2u) = 48
1/3 u2 = 48
u2 = 48 x 3 = 144
u = 12
Hence the length of each side of square is 12cm.