Question

The sides of one regular hexagon is larger than that of the Other regular hexagon by one cm. Is the product of their areas is 243, then find the sides of the regular hexagons

Answer 1

Answer:

Side of first hexagon is 2 cm and of other is 3 cm.

Step-by-step explanation:

Given that the sides of one regular hexagon is larger than that of the other regular hexagon by 1 cm. Also the product of their areas is 243.

we have to find the sides of the regular hexagons.

$\text{Area of a regular hexagon }=\frac{3\sqrt3}{2}a^2$

Let a be the side of one hexagon so the side of other hexagon is (a+1).

$\text{Product of areas =}243$

$\frac{3\sqrt3}{2}a^2\times \frac{3\sqrt3}{2}(a+1)^2=243$

$\frac{27}{4}a^2(a+1)^2=243$

$a^2\times (a+1)^2 =36$

According to above equation

The possible value of a is 2.

∴ Side of first hexagon =2 cm.

Side of second hexagon =2+1 =3 cm.

Answer 2

Step-by-step explanation:

the answers of the given question is in the attachment above

hope this will help u!!!!