2. The length and breadth of a rectangular sheet of paper is 30 m and 20 cm respectively. A square sheet of side equal to one-fourth of the rectangular sheet is removed from each corner of the sheet. Find the area of the remaining sheet.
Answers
Answer:
Step-by-step explanation:
Area of rectangular sheet = length × breadth
=(20×10) cm
2
=200 cm
2
Area of rectangular piece that is cut from the sheet = length × breadth
=(5×2) cm
2
=10 cm
2
Area of resultant figure = (area of rectangle sheet) – (area of rectangular piece)
=(200−10) cm
2
=190 cm
2
Perimeter of rectangle sheet before piece is cut = 2 (length + breadth)
=2(20+10)
=60 cm
Length of outer boundaries of resultant figure will be 20cm, 8cm, 5cm, 2cm, 15cm and 10cm
Perimeter of resultant figure = sum of all sides of the new figure formed
= (20 + 8 + 5 + 2 + 15 + 10)
= 60 cm
Thus, it can be observed that the perimeter remains the same but area changes.