A rectangular strip 1 mtr wide is laid on a 3*4ground,such dat it touches all the 4 walls,what is the legnth.?

Question

of the strip?

Answer 1

what about wastage? it also counts when measuring length!

Answer 2

assumimg all measurements are SI, 1 m wide "red carpet" may touch all 4 walls in a 3m x 4m room with minimum length of 4.0851073 meters.

answer = 4.0851073 m

you want to find L.

the equations to solve :

L/1 = L = y/b = x/a

L^2 = x^2 + y^2

a^2 + b^2 = 1^2 = 1

we get

ab = 0.44746987865

xy = 7.46742282135

to find each of a, b, x and y.

L = ax + by = 4.0851073