Question

Pls help me.i need help asap​

Answer 1

Area of the shaded region = 51 cm²

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}}`

=
`(AC)/((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