Math Is Fun Forum

Neha

Member

Registered: 2006-10-11

Posts: 173

length L

if one side of a triangle has a length of L and another with a length of 3L
express the AREA of this rectangle in terms in terms of L.

area of rectangle equals LW
length times width
so

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mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: length L

We're given the lengths of a triangle and asked to find the area of a rectangle? That's a tricky problem.

Are you sure you don't just need to find the area of the triangle?
The only way we can find the area of a triangle with 2 lengths is if we know it is right-angled.
If that is the case, then the area is length1 * length2 /2.

In this example, that would be 1.5L².

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Why did the vector cross the road?
It wanted to be normal.

harish

Guest

Re: length L

Hi,
even if that is right angled triangle,the second length can be of diagonal also.
In that case,
another side length will be sqrt(9L^2-L^2)=sqrt(8*L^2)=2sqrt(2)L.
Then the area will be             half*L*2*sqrt(2)*L      =   L*L*sqrt(2) = 1.414*L*L.