SOLUTION: I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?

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Question 923123: I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?
Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Area (A) = 36 square metres
perimeter (P) = 30 metres
Formulae: 1) Area = length x width
2) perimeter = 2*(length+width)
let length be x meters and width be y meter
so A = x*y= 36
P=2(x+y)= 30
divide with 2 on both sides
2%28x%2By%29%2F2+=30%2F2
x+y =15................eq(1)
rule : +%28x-y%29%5E2+=+%28x%2By%29%5E2-4xy

+%28x-y%29%5E2+=+%2815%29%5E2-4%2A36
+%28x-y%29%5E2+=+225-144
+%28x-y%29%5E2+=+81
apply square root on both sides
+sqrt%28x-y%29+=+sqrt%2881%29
x-y = 9 ................eq(2)
now we need to solve equation 1 &e to get x&y
add equation 1 & 2
x+y= 15
x-y =9
----------
2x = 24
----------
2x= 24
divide with 2 on both sides
+2x%2F2+=+24%2F2
x= 12
but x*y =36
12*y =36
divide with 12 on both sides
12y%2F12+=36%2F12
y= 3
so length (x)= 12 m
width (y) =3 m


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I can't seem to get the answer to this question: A= 36 square meters, P= 30 meters find the length and the width? Could you help me find the length and width please?

Let width and length be W, and L, respectively
Then: 2(W + L) = 30_____2(W + L) = 2(15)_____W + L = 15_____W = 15 – L ------ eq (i)
LW = 30 ------- eq (ii)
L(15 – L) = 36 ------- Substituting 15 – L for W in eq (ii)
15L+-+L%5E2+=+36
L%5E2+-+15L+%2B+36+=+0
(L - 12)(L - 3) = 0
L, or length = 12 OR L = 3
If length = 12, then width = 3
If length = 3, then width = 12
Dimensions: highlight_green%2812m_by_3m%29