Question

The perimeter of a square plot of land is 64m. The area of a nearby rectangular plot is 24m² more than the area of the given square. If the length of the rectangle is 14m, find its breadth.

Answer 1

The perimeter of a square with side s = P = 4s
∴ Here, the perimeter of the square 64m
Let the side of the square = s
∴ 4s = 64
⇒ s = 16m
We know, The area of a square with side s = s²
∴ s² 
= 16²
= 256m²
∴ The area of the rectangle 
= 256 + 64
= 280m²
The area of a rectangle with length l and breadth b = A = l x b
Here, l = 14m, let breadth = b
The area of a rectangle with length 4 and breadth b = A = 14 x b
⇒ 14b = 280

⇒ b = `(280)/(14)`
= 20m.