A carpet is made by sewing a one inch braid around and around until the final shape is an oval with semicircular ends, estimate the length of braid required, hint estimate the area of the carpet?

braid is 1 in wide
length 10 ft
width 4 ft

1 Answer
Shwetank Mauria
Jun 17, 2017

Length of braid required is #5266# inches.

Explanation:

As the carpet is an oval with semicircular ends and dimensions #10# feet by #4# feet, it appears as shown below.not drawn to scale
andd its area will comprise of two semicircular ends of radius #2# feet, which adds up to one full circle of radius #2# feet and a central pure rectangular piece of dimensions #4'xx6'#.

Hence, its area is #4xx6+pixx2^2#

= #24+3.1416xx4=36.5664# #ft^2#

or #36.5664xx12^2=5265.5616# square inches

As the braid is #1#'' wide, its length should be

#5265.5616#" or say #5266#".

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