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1 answer:
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The perimeter of the figure is 50.56 cm.
Solution:
Radius of the quarter of a circle = 8 cm
Perimeter of the quarter circle =
= 12.56 cm
In figure, one side of the quarter circle is merged with rectangle, so remove one radius from the perimeter of the quarter circle.
Perimeter of the given quarter circle = 12.56 cm – one radius
= 12.56 cm – 8 cm
= 4.56 cm
Perimeter of the rectangle given = (17 – 8) cm + 10 cm + 17 cm + 10 cm
= 9 cm + 10 cm + 17 cm + 10 cm
= 46 cm
Perimeter of the given figure = 4.56 cm + 46 cm
= 50.56 cm
Hence the perimeter of the figure is 50.56 cm.
Answer:
WZ = 51 mm.
Step-by-step explanation:
The trapezoid figure STUV is a scaled version of figure WXYZ.
The figure STUV to figure WXYZ has a scale factor of 3 : 1.
So, the corresponding lengths of the two figures will be in the 3 : 1 ratio.
Then,
So, SV = 3 × WZ
⇒ 153 = 3 × WZ
⇒ WZ = 51 mm (Answer)