from a rectangular sheet of tin of size 120 cm by 100 cm are cut four squares of side 10 cm from each corner find the area of the remaining sheet
Answers
Answer:
Area of the remaining sheet is 1.16 m²
Step-by-step explanation:
Given :
From a rectangular sheet of tin of size 120 cm by 100 cm are cut four squares of side 10 cm from each corner.
To find :
the area of the remaining sheet.
Solution :
If we remove the area of 4 squares which are cut from the area of the rectangular sheet, we'll get the area of the remaining sheet.
Area of rectangular sheet :
Length = 120 cm
Breadth = 100 cm
➙ Area = length × breadth
➙ Area = 120 cm × 100 cm
➙ Area = 12000 cm²
Area of one square :
Side = 10 cm
➙ Area = side × side
➙ Area = 10 cm × 10 cm
➙ Area = 100 cm²
Area of 4 squares :
➙ Area of 4 squares = 4 × 100 cm²
➙ Area of 4 squares = 400 cm²
Area of the remaining sheet :
➙ Area of the remaining sheet = Area of the rectangular sheet - Area of 4 squares
➙ Area of the remaining sheet = 12000 cm² - 400 cm²
➙ Area of the remaining sheet = 11600 cm²
➙ Area of the remaining sheet = 11600/10000 m²
➙ Area of the remaining sheet = 1.16 m²
Therefore,
Area of the remaining sheet = 1.16 m²
Step-by-step explanation:
length of the rectangle (l) = 120cm
breadth of the rectangle (b) = 100cm
side of the square(s) = 10cm
area of remaining sheet = area of rectangle-area of square
= (l×b)-4s²
= (120cm×100cm) - 4(10cm)²
= 12000cm² - 4(100cm²)
= 12000cm²-400cm²
= 11600cm²
.: area of remaining sheet = 11600cm² = 11.6m²