A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side. The area of the rectangle is 238 m². Find the dimensions of the original square.

Therefore,

Dimensions of the Original Square is

Step-by-step explanation:

Given:

Let the side of Square be "x" meter

Then the Dimensions of a Rectangle is formed by adding 6 m to one side and 3 m to the other side wil be.

Area of Rectangle =238 m²

To Find:

x = ?  (Dimension of Original Square)

Solution:

Area of Rectangle is given by

Substituting the values we get

Opening the Parenthesis we get

   ......Which is Quadratic equation

On Factorizing and Splitting the middle term we get

As distance cannot be negative therefore,

Therefore,

Dimensions of the Original Square is

11 meter

Step-by-step explanation:

Given: A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side.

The area of the rectangle is 238 m².

Now, finding the dimension of the original square.

Lets assume the side of square be "s".

∴ Width=

Length=

We know, area of rectangle=

Subtituting the value in the formula to find the dimension or side of square.

⇒

using distributive property of multiplication.

⇒

Subtracting both side by 238

⇒

Solving by using quadratic formula to find value of s.

Formula:

∴ In the expression , we have a= 1, b= 9 and c= -220.

Now, subtituting the value in the formula.

=

=

=

=

=

= -20 or 11

Ignoring negative result as dimension cannot be negative.

∴ The dimension of square will be 11 meter.

the answer is 16ft

step-by-step explanation:

answer: it is d

step-by-step explanation: