A white rectangular board 28 cm long and 16 cm wide is placed in the
centre of a large rectangular wooden board. It creates a border of 2 cm
around it. Find the area not covered by the white board.
Answers
Answer:
A white rectangular board 28 cm long and 16 cm wide
Area of White Board = 28 * 16
wooden board creates a border of 2 cm around it.
Wooden Board Size = ( 28 + 2 + 2) , (16 + 2 + 2)
Wooden board Area = (28 + 4) * ( 16 + 4)
= 28 * 16 + 28 * 4 + 16 * 4 + 4 * 4
= 28 * 16 + 112 + 64 + 16
= 28 * 16 + 192
the area not covered by the white board. = 28 * 16 + 192 - 28 * 16
= 192 cm²
Step-by-step explanation:
A white rectangular board 28 cm long and 16 cm wide
Area of White Board = 28 * 16
wooden board creates a border of 2 cm around it.
Wooden Board Size = ( 28 + 2 + 2) , (16 + 2 + 2)
Wooden board Area = (28 + 4) * ( 16 + 4)
= 28 * 16 + 28 * 4 + 16 * 4 + 4 * 4
= 28 * 16 + 112 + 64 + 16
= 28 * 16 + 192
the area not covered by the white board. = 28 * 16 + 192 - 28 * 16
= 192 cm²