A landscaping company has been commissioned to design a triangular flower bed for a mall entrance. The final dimensions of the flower bed have not been determined, but the company knows that the height will be two feet less than the base. The area of the flower bed can be represented by the equation A=1/2b^2-b.
1.Write this equation in factored form.
2.Suppose the base of the flower bed is 16ft. What will be its area?
2006-12-23 11:01:35 · 6 answers · asked by baseballman1243 1 in Science & Mathematics ➔ Mathematics
Common factor out a 1/2 b to get 1/2b(b - 2).
IF b = 16, substitute in 16 to get
1/2(16)(16 - 2)
=8(14)
=112
THe area will be 112 ft^2.
2006-12-23 11:06:44 · answer #1 · answered by keely_66 3 · 0⤊ 0⤋
1. The area of a triangle is area=1/2(base)(height). If b=base you can write an expression for the hight in terms of b. Plug that into the formula for area you will have your factored form.
2. If the base of the flower bed is 16ft what does that mean for "b"? Plug b into the factored form you got in part 1 and you have the answer. Don't forget that your answer is an area so its units should be square feet (ft^2)
2006-12-23 11:11:35 · answer #2 · answered by Max S 2 · 0⤊ 0⤋
A=1/2b² - b
factoring:
b(1/2b - b)
suppose:
A = 1/2b² - b
B = 16ft
h = 16 - 2
A = (b*h) : 2
(b²/2 - b) = 16(16 - 2) : 2
256/2 - 16 = 8*14
128 - 16 = 112
112 = 112ft²
Answer: Its area will be 112ft².
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2006-12-23 11:15:27 · answer #3 · answered by aeiou 7 · 0⤊ 0⤋
Given
Area A = ½b² - b = ½b(b - 2)
Base b = 16 ft
A = ½b(b - 2) = ½(16)(16 - 2) = ½(16)(14) = 112 ft²
2006-12-23 11:41:23 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
Factored form : (b-2) (b/2)
2014-07-27 02:40:44 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Make the unknown x, then x-2 Just a guess.
2006-12-23 11:17:29 · answer #6 · answered by ? 3 · 0⤊ 0⤋