Question

length of rectangular garden is twice the length of a square and its breadth is 2 meter less than that of the square the area of the rectangular garden is 21,meter square than that of square find the dimensions of the rectangle ​

Answer 1

Here you go...

.

.

.

.

..

Don't forget to hit the thanks button and follow me ...

Answer 2

The dimensions of rectangle would be 14 m and 5 m resp.

Step-by-step explanation:

Since we have given that

Let the side of square be 'x'

Let the length of rectangular garden be 2x

Let the breadth of rectangular garden be x-2

So, Area  of rectangle is less than the area of square,

So, it becomes,

Area of rectangle - Area of square = 21

$2x(x-2)-x^2=21\\\\2x^2-4x-x^2=21\\\\x^2-4x-21=0\\\\x^2-7x+3x-21=0\\\\x(x-7)+3(x-7)=0\\\\(x-7)(x+3)=0\\\\x=-3,7$

So, the length of side of square = 7 m

Length of rectangle = $2\times 7=14\ m$

Breadth of rectangle = $x-2=7-2=5\ m$

Hence, the dimensions of rectangle would be 14 m and 5 m resp.

# learn more:

Length of rectangular garden is twice the length of a square and its breadth is 2 meter less than that of the square the area of the rectangular garden is 21,meter square than that of square find the dimensions of the rectangle ​

https://brainly.in/question/10647389