Question

A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer than the original room. The area of the new room will be 144 square feet greater than the area of the original room. What are the dimensions of the original room?

Answer 1

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.