Question

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.​

Answer 1

Step-by-step explanation:

L of white board=28cm

B=16cm

L of wooden board=28+2=30cm

B=16+2=18cm

Area of small rectangle=lxb

=28x16

=448cm

Area of big rectangle=30x18

=540cm

Area of border=540-448

=92cm

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Answer 2

The area not covered by the white board is 192 cm².

Step-by-step explanation:

Consider the provided information.

A white rectangular board 28 cm long and 16 cm wide.

Area of rectangle is: $A=Length\times Width$

Substitute the respective values

Area of White Board is:

$A=28\times 16=448$

The area of white board is 448 cm²

Wooden board creates a border of 2 cm around it.

Wooden Board dimension is: (28 + 2 + 2) cm long and (16 + 2 + 2) cm wide

Wooden Board dimension is: 32 cm long and 20 cm wide.

The are of Wooden board is:

$A=32\times20=640$

The area not covered by the white board is:

640 cm² - 448 cm² = 192 cm²

The area not covered by the white board is 192 cm².

#Learn more

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