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 tha n 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?
1 answer:
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.
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