A. 16 meters
Let x be the length of each side of the original pool.
The area of the original pool is x^2.
After increasing each side by 4 meters, the new area of the pool will be (x+4)^2.
Given that the new total area is 361 square meters, we have:
(x+4)^2 = 361
Expanding the left side:
x^2 + 8x + 16 = 361
Rearranging the equation:
x^2 + 8x - 345 = 0
Factoring the quadratic equation:
(x + 23)(x - 15) = 0
Setting each factor to 0:
x + 23 = 0 or x - 15 = 0
x = -23 (reject) or x = 15
Therefore, the length of each side of the original pool is 15 meters.
22. The Hewitt family plans to expand their square pool. Each side of the original pool will be increased by 4 meters, and the new total area of the pool will be 361 square meters. Find the length of each side of the original pool.
A. 16 meters
B. 15 meters
C. 19 meters
D. 12 meters
1 answer