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formula kong panu mag solve Step-by-step explanation:
The area of a rectangle is 24 cm 2 . The width is 2 cm less than the length. How do I find the length and width of the rectangle?
The area of a rectangle is 24 cm2. The width is 2 cm less than the length. How do I find the length and width of the rectangle?
While this has all the hallmarks of a homework question, that implication doesn't concern me.
I've used some other “homework questions" as a basis for tutoring some of my students and they can be a valuable resource.
Further I've sometimes found that a respondent has published their analysis and got a different answer to my answer, suggesting either that they or I made an error, or the question is open to more than a single interpretation.
Fact (1). The area of the rectan
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Given:
A rectangle
Area = A = 24 cm^2
Width W = L - 2 , Length L
Find = Width & Length
Plan: use the area formula for a rectangle to get an equation and solve.
A = L x W
24 = L•(L -2) = L^2 -2L. Now solve for
L^2 -2L -24 = 0. Solve by factoring if possible else use the quadratic formula.
(L - 6)(L + 4) = 0 Therefore, L - 6 = 0 or L + 4 = 0
Solution Set {6, -4} to the equation. Measurement are positive. so -4 is an extraneous solution.
Now L = 6 , W = L -2 = 6 - 2 = 4
Check: 6 x 4 = 24 cm^2 OK
Answer: length = 6 cm , Width = 4 cm
This type of problem is typical. The formulas change, the dimensions change,and they alway require an equation to be solved. Make sure your answers have units on them.
Answer:
Step-by-step explanation:
area = length (l) * width (w)
80 = l * w
Since l = w -2 , 80 = (w - 2) * w
Simplify: w2 - 2w = 80
Solve by completing the square:
w2 - 2w +1 = 80 + 1
(w - 1)2 = 81
w - 1 = ± 9
w = 10
So the length is 8.