Mahesh is making a paper mobile. He draws and cuts out a square with sides 4.5cm long. Next he draws a regular hexagon with the same perimeter as the square. How long is each side of the regular hexagon?
Perimeter = distance around a figure

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

3cm

6cm

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- A geometric figure's perimeter is the continuous line that forms the figure's perimeter. The length of this border is the perimeter's value. The formulae used to determine a figure's perimeter vary depending on the kind of design; in general, the perimeter is just the total number of sides in the figure. Compare their formulae to determine the measurements of each side of the hexagon since the perimeters of the square and hexagon are equal.
As the perimeter is the sum of all the sides in a figure, the square has four sides so its perimeter = side + side + side + side

side
A hexagon has six sides so its perimeter = side + side + side + side + side + side

side .
It is given that the hexagon is regular so the length of all its sides is equal.
The perimeter of the square with side

Since we know that perimeter of the square is same as the perimeter of the hexagon

So, each side of the regular hexagon is

long.
Hence, the correct answer is option 1

Watch 3-min video & get full concept clarity