A carpet measures 40 m x 30 m. A strip 5 m wide is cut off from all around. Find the area of the remaining carpet and also the area of strip cut-out.
Answers
Answer:
Step-by-step explanation:
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.
Answer:
The area of the remaining carpet = 600m²
The area of the strip cut-out = 600m²
Step-by-step explanation:
Length of the carpet = 40m
Breadth of the carpet = 30m
Area of the carpet = 40m * 30m
= 1200m²
After the strip of 5m is cut from all the sides, the length and the breadth of the carpet changes.
As 5m and 5m is cut from the length and similarly 5m and 5m from its breadth, the new dimensions become,
Length = 40m - (5m + 5m )= 40m - 10m = 30m
Breadth = 30m - (5m + 5m )= 30m - 10m = 20m
Therefore, Area after cutting = 30m * 20m = 600m²
Therefore, the area of the remaining carpet = 600m²
The area of the strip cut-out = Area of the original carpet - Area of the carpet after cut-out
On substituting the values,
The area of the strip cut-out = 1200m² - 600m²
= 600m²
Therefore, the area of the strip cut-out = 600m²