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Question

The rectangle shown here is made up of identical squares. If the perimeter of the rectangle is 18 cm, what will be its area(in sq. cm)?

  1. 20

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Solution

The correct option is A 20
Number of squares along the length of the rectangle = 5
So, length of rectangle = 5 × side of square
Number of squares along the breadth of the rectangle = 4
So, breadth of rectangle = 4 × side of square
So, half of the perimeter of the rectangle
= 5 × side of square + 4 × side of square
= 9 × side of square
It means the perimeter of the rectangle will be 18 × side of square.
So, 18 cm = 18 × side of square
It means the side of each square is 1 cm.
So, the area of each square = 1 × 1 = 1 sq. cm
Number of squares in the rectangle = 20
So, the area of the rectangle = 20 × 1
= 20 sq. cm

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