Question

The perimeter of a square is 48m. The area of a rectangle is 6m less than the area of this square. If the length of the rectangle is 23m, find it breadth

Answer 1

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perimeter of a square = 4s

4s = 48

=> s = 48/4 = 12m

area of a square = s²

area of square = 12² = 144m²

given that area of rectangle = area of square - 6

=> area of rectangle = 144 - 6 =138m²

but we know that area of a rectangle = l × b

l = 23m , b = ?

23 × b = 138

b = 138 / 23 = 6m

therefore breadth of the rectangle = 6m

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