Let the third side = x.
The sum of any two sides must be greater than the third side
14 + 9 > x
23 > x
14 + x > 9
x > -5
9 + x > 14
x > 5
So 5 < x < 23
Area of 1 exam room = 10 ft. × 10 ft. = 100 ft.²
Area of 10 exam room = 100 ft.² × 10 = 1000 ft.²
Area of waiting room = 20 ft. × 15 ft. = 300 ft.²
Area of office area = 25 ft. × 20 ft. = 500 ft.²
Now,
Total area of the hospital to be replaced = 1000 ft.² + 300 ft.² + 500 ft.² = 1800 ft.²
5 goes into both 35 and 100. But there are unlimited answers if you are being asked to find more than whole integers.
10.25 x 4
20.5 x 2
41 x 1
Hope this helps :)
