a rectangular sheet of the mentoring 30 by 20 cm from the corner for square of side 2 cm teacher taken out find the perimeter and area of the original sheet and the sheet after cutting of the squares
Answers
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