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)   (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

x+y =15................eq(1)
rule :




apply square root on both sides

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

x= 12
but x*y =36
12*y =36
divide with 12 on both sides

y= 3
so length (x)= 12 m
width (y) =3 m


Answer by MathTherapy(10552)   (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)





(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:  

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