Question

Draw a rectangle of area 24 sq.cm Then draw a sqare of the same area​

Answer 1

Given : a rectangle of area 24 sq.cm

To Find : draw a square of the same area​

Solution:

rectangle area = 24 cm²

Let say sides are  6 cm & 4 cm    ( as 6 * 4 = 24 )

Step 1 : Draw line segment AB = 6 cm

Step 2 : Draw a right angle at A & B using setsquare or protractor

Step 3 : Take length on both right angle as 4 cm

BC = 4 cm  & AD = 4 cm

Step 4 : Join CD

Now to construct Square of same area we need to find side = √(6 * 4 )

Step 1 : Extend AB as AX

Step 2 : use compass width = BC = 4 cm  and taking B as center cut AX  at  P

Step 3 :  Draw perpendicular bisector of AP  with mid point of AP at M

Step 4 : Using compass width = AM or PM  , draw a semicircle.

Step 5 : Extend BC to intersect semi circle at  E

BE = √(6 * 4 )

Step 6 : Using compass width = BE  , taking B as center cut AX at G

Step 7 : Keeping compass width same and taking E & G as center daw arc intersecting at F

Join EF & FG

BEFG is a square of area  same as of rectangle

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Answer 2

Answer:

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