Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Hope this helps!
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Answer:
36.5cm²
Step-by-step explanation:
Area of quarter circle=8²
/4=64
/4=16
cm²
Area of square+Area of shaded region =2(16
)=32
=100.5cm²
Area of square=8²=64cm²
Area of shaded region=100.5cm²-64cm²=36.5cm²
Therefore, the area of the shaded region is 36.5cm².