Problem: A rectangle has a base that is ten meters longer than its height.the area of rectangle is 24 square meters. What are the dimensions of the rectangle?
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Answer:
1. Let h be the height, let h + 10 be the base.
2. A = base times height or 24 = (h+10)(h)
3. 24 = (h^2 + 10h)
4. 24-24 = h^2+10h-24 ➡️ 0 = h^2 + 10h - 24
5. 0 = (h+12)(h-2)
6. h + 12 = 0 or h - 2 = 0
7. h + 12 - 12 = 0 - 12 ; h - 2 + 2 = 0 + 2
h = -12 ; h = 2