Question

The perimeter of a square is 48 m. The area of a rectangle is 6 m² less than the area of this square. If the length
of the rectangle is 23 m, find it breadth.

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Answer 1

Answer:

6m

Step-by-step explanation:

Given,

Perimeter of a Square = 48m

Area of a rectangle is 6m^2 less than area of the square

Length of the rectangle = 23m

To Find :-

Breadth of the rectangle.

Solution :-

Given, Perimeter of a Square = 48m

We know that perimeter of the square = 4 * side of the square(s).

$\impies 48m = 4\times side$

s = 48m/4

s = 12m

Therefore Side od the Square(s) = 12m

Now, Area of a rectangle is 6m^2 less than area of the square

Area of the Square = (side)^2

= (12m)^2

= 144m^2

Since, Area of the Square = 144m^2

$\implies Area\: of\: the\: rectangle = 144m^2 - 6m^2$

$= 138m^2$

$Area\: of\: the\: Rectangle = length\times breadth$

Given, length = 23m

$138m^2 = 23m\times breadth$

breadth of the rectangle = 6m

Hence, breadth of the rectangle = 6m