Question

By constructing a rectangle $WXYZ$ of base = $4.8cm$ and height $=5cm$, find the square root of its perimeter (where perimeter is in cm) upto the nearest integer.

Answer 1

Fist we draw a line YZ=4.8 cm

Make angle 90 at point Y ,And draw a line cut at point Y, YX =5 cm by compass

After that with compass make cut from point X ,4.8 cm and cut at point Z , 5 cm both cuts meeting at point W

Join W from X and Z we get rectangle XYZW

The perimeter of rectangle =$2(4.8+5)=2\times 9.8=19.6cm$

Then perimeter of square =19.6 cm sq cm

Then square root of perimeter of square =$\sqrt{19.6}=4.42\approx 4$