Question

A red carpet 12m long and 1.5m wide is kept for welcoming foreign dignitaries and heads of state.A 10 cm wide border runs parallel to the lengths on both the edges along the widhth of one edge the border is 25cm wide and on the other side the bordee is.5m board with welcome inscripted on it. find the total area of the border
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Answer 1

Step-by-step explanation:

1. area of the carpet = 12 *1.5=18
2. Length of breadhwise carpet except border=1.5-0.1*2=1.5*0.2=0.3
3. Area of the trapezium between the border and carpet=1/2*(0.25+0.5)*0.1=14.56

therefore total area of the border=

18-14.56=3.44

Answer 2

Total area of the border is 3.375 m²

Step-by-step explanation:

given : length of carpet = 12 m

breadth of carpet = 1.5 m

width of border = 10 cm = 0.1 m

widhth of one edge the border is 25cm = 0.25 m

other side the bordee is 0.5m board

then

from the figure :

area of the border = area or portion 1 + area or portion 2 + area or portion 3 + area or portion 4

0.5 ×1.5 + 11.25 ×0.1 + 0.25 ×1.5 + 11.25 × 0.1

= 0.75 + 1.125 + 0.375 + 1.125

= 3 + 0.375

= 3.375 m²

hence , Total area of the border is 3.375 m²

#Learn more :

A saree 5.5m long and 1.25m wide has a border 2.5cm broad along its length on either side.along the width on one edge the border was 5cm wide and on other side the border was 25cm wide. find the area of border.

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