# A rectangle of area 105cm2 has its length equal to x cm. Write down It's breadth in terms of x. Given that the perimeter is 44cm, write down an equation in x and solve it to determine the dimensions of the rectangle.

2
by Deleted account

2015-03-05T22:37:39+05:30

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nice handwriting!
:)
2015-03-06T08:34:27+05:30
Area:105cm²
l=x cm
b=105/x

Now, given perimeter: 44cm
P=2l+2b⇒44=2x+210/x⇒2x²-44x+210=0
⇒2x²-30x-14x+210=0
⇒2x(x-15)-14(x-15)=0⇒(2x-14)(x-15)=0

so x=7 or x=15⇒l=7cm or 15 cm
so b=15cm or b=7cm
area=length*bredth(11+x)*(11-x)=105............................................................
(a+b)(a-b)=a2-b2
121-x2=105,,x2=16,,x=4
length=15,,and bredth=7
thank u!! :)