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Problem: A rectangle has a base that is ten meters longer than its height. The area of the rectangle is 24 square meters. What is the dimensions of the rectangle?
To present the unknown, you use the variable h
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Answer:
1.) Let l be the height
l + 10 be the base
2.) A = base times height or
24 = (l + 10) (l)
3.) 24 = l² + 10l
4.) 24 – 24 = l² + 10l – 24
0 = l² + 10l – 24
5.). 0 = (l + 12)(l – 2)
6.). l + 12 = 0 or. l – 2 = 0
7.). l + 12 – 12 = 0 – 12 or
l – 2 + 2 = 0 + 2
l = -12 or. l = 2
Step-by-step explanation:
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