a carpet measures 30m by 20m. A strip of 4 m width is cut from it all around. find the area of the remaining carpet and also the area of the strip cut out
Answers
Answer:
area of carpet=30*20=600 m^2
area of four strips= 2*30*4 + 2*20*4 =400 m^2
area of overlapping portion of strip=4*16= 64 m^2
area of strip when overlapping strip area is excluded=400-64=336
Therefore total remaining area of carper when strips are cut= 600-336=264 m^2.
Step-by-step explanation:
Dear Student,
● Answer -
Area of remaining carpet = 264 sq.m
Area of strip cut = 336 sq.m
● Explanation -
Area of whole carpet is -
Area of whole carpet = 30 × 20
Area of whole carpet = 600 sq.m
For remaining carpet length = 30-4×2 = 22 m and width = 20-4×2 = 12 m.
Area of remaining carpet = 22 × 12
Area of remaining carpet = 264 sq.m
Area of strip cut is given as -
Area of strip cut = area of whole carpet - area of remaining carpet
Area of strip cut = 600 - 264
Area of strip cut = 336 sq.m
Hope this helps you...