Length of a drawing board is 40 cm and
breadth is 30 cm. A 4 cm wide border is left
along all four sides and the picture is drawn
inside it. Find the area of the border.
Answers
Given:
Length of a drawing board is 40 cm and breadth is 30 cm. A 4 cm wide border is left along all four sides and the picture is drawn inside it.
To find:
The area of the border
Solution:
The external dimensions of the drawing board (including the border):
External Length = 40 cm
External Breadth = 30 cm
∴ The area of the external rectangle = length × breadth = 40 × 30 = 1200 cm²
The internal dimensions of the drawing board (excluding the border):
The width of the border = 4 cm
Internal Length = 40 - (2 × 4) cm = 40 - 8 = 32 cm
Internal Breadth = 30 - (2 × 4) cm = 30 - 8 = 22 cm
∴ The area of the internal rectangle = length × breadth = 32 × 22 = 704 cm²
Now,
The area of the border along all 4 sides is,
= [Area with border] - [Area without border]
= 1200 cm² - 704 cm²
= 496 cm²
Thus, the area of the border is → 496 cm².
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