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svp [43]
2 years ago
5

Pls help me.i need help asap​

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
3 0

Answer:

Area of the shaded region = 51 cm²

Step-by-step explanation:

Area of the smaller pentagon ABKHG = 17 cm²

Since, B is the midpoint of side AC,

Scale factor used to enlarge the sides = \frac{\text{Measure of side AC}}{\text{Measure of side AB}}

                                                                = \frac{AC}{\frac{AC}{2}}

                                                                = 2

Therefore, area scale factor of both the pentagons = (Dimensional scale factor)²

2² = \frac{\text{Area of AFEDC}}{\text{Area of ABKHG}}

4 = \frac{\text{Area of AFEDC}}{17}

Area of bigger pentagon AFEDC = 4 × 17

= 68 cm²

Area of the shaded region = Area of the bigger pentagon - Area of the smaller pentagon

= 68 - 17

= 51 cm²

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\boxed{ \bold{ \huge{ \sf{x = 29}}}}

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