Question 149178
if you remember, the formula for the perimeter is:

{{{P=2(length +width)}}}

The perimeter of a rectangle oceanfront lot is 190 meters.

So, P=190. Thus,

The first equation is

{{{190=2(length+width)}}}

Dividing both sides by 2,

{{{95=length+width}}}
{{{length+width=95}}}----2nd equation


The width is one-fourth of the length.

So, the next equation is:

{{{width=length/4}}}

If you substitute this to the 2nd equation,

{{{length+(length/4)=95}}}
{{{(4*length/4)+(length/4)=95}}}
{{{5*length/4=95}}}

Multiplying both sides by 4,

{{{5*length=380}}}

Dividing both sides by 5,

{{{length=76}}}

Since {{{width=length/4}}} then,

{{{width=76/4=19}}}


Therefore, the dimensions of the rectangle is 76*19.

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