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In a certain rectangle, the ratio of length to width of a re
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17 Aug 2018, 18:42
17 Aug 2018, 18:42
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Question Stats:
94% (01:23) correct
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In a certain rectangle, the ratio of length to width of a rectangle is 3 : 2 and the area is 150 square centimeters. What is the perimeter of the rectangle, in centimeters?
(A) 10
(B) 15
(C) 25
(D) 40
(E) 50
(A) 10
(B) 15
(C) 25
(D) 40
(E) 50
Re: In a certain rectangle, the ratio of length to width of a re
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25 Mar 2020, 02:40
25 Mar 2020, 02:40
Ratio of length to width is 3:2. Introduce the unknown multiplier, X, for each side. Now we have 3X and 2X. 3X*2X must equal the area, so 6X^2 = 150. 150/6 = 25. We can take the root of 25 to find X because a side can't be negative. So we know thw unknown multiplier is 5. Sides are 15 and 10. 2(15) +2(10) = 50, or E.
Re: In a certain rectangle, the ratio of length to width of a re
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25 Mar 2020, 03:11
25 Mar 2020, 03:11
tou know that lenght:width is 3:2 and lenght*width=150. Therefore l= 3/2 w, you plug this in the other equation and you get w* 3/2*w = 150 --> 3/2*w^2= 150 --> w^2 = 100 --> w=10 then you plug 10 in l =3/2 *w --> l= 3/2* 10 --> l= 15 finally you find the perimeter P= 15+15+10+10=50. Answer E
