QUADRATIC �EQUATIONS
Q)
Sol.
Let the side of the smaller regular hexagon be x cm.
The side of the bigger regular hexagon is (x + 1) cm.
x
x
+
1
Area of regular hexagon = × (side)2
×
=
Hexagon having all sides equal
What we have to find ?
Let the side of a smaller regular hexagon be x
The side of a larger regular hexagon will be x + ?
What is a hexagon ?
So, the area of smaller regular hexagon will be
Means multiplication
The side of larger regular hexagon will be x + 1
The side is larger by 1 cm
It is given that……
So, the area of larger regular hexagon will be
Let us consider two regular hexagons. One smaller and one bigger
A hexagon is a 6-sided polygon
As per the given condition
x2
(x + 1)2
x2
(x + 1)2
The side of one regular hexagon is larger than that of the other regular hexagon by 1cm. If the product of their areas is 243, then find the sides of both the regular hexagons.
243
1
1
Q)
Let the side of the smaller regular hexagon be x cm.
The side of the bigger regular hexagon is (x + 1) cm.
As per the given condition
∴
∴
∴
∴
∴
∴
∴
∴
∴
∴
∴
∴
∴
∴
The sides of one regular hexagon is larger than that of the other regular hexagon by 1cm. If the product of their areas is 243, than find the sides of both the regular hexagons.
Since we are subtracting the factors give middle term sign to the bigger factor and the opposite sign to the smaller factor
Find two factors of 6 in such a way that by subtracting factors we get middle no. 1
6
2
3
–
+