Question

The width of a rectangle is one third its length. If the area of the rectangle is 192 meters, find the dimensions of the rectangle.​

Answer 1

Answer:

Given :-

Width of rectangle is 1/3 of lengthArea = 192 m

To Find :-

Dimensions

SoluTion :-

As we know that

Area of rectangle = Length × Breadth

Let the length be x and breadth be x/3

192 = x × x/3

x × x = x²

192 = x²/3

x² = 192 × 3

x² = 596

x = √(596)

x = 24 m

Hence :-

Length is 24 m and breadth is 24/3 = 8 m

Extra Info :-

Perimeter of rectangle = 2(l + b)Diagonal of rectangle = √(length + breadth)Area of square = side²Diagonal of square = √2 × sidePerimeter of square = 4 × side

Answer 2

Answer:

Below is the answer

Step-by-step explanation:

Let length be "L".

Breadth=1/3(L)

Area of rectangle= length x breadth

192=L x (1/3)(L)

(L)^2=576

therefore, Length=24metres and breadth=8 metres

Voila!