the length of a rectangle plot of land is 2 times the width of the perimeter is 500 feet find the dimensions of the plot

Answer 1

Use the equation 500=2L+2W

Then substitute L=2W into the first equation for L.

500= 2(2w)+2w Then multiply

500=4w+2w Then add like terms

500=6w Then divide both sides by 6

500/6=6w/6

250/3 feet=w

Next substitute in for the length equation

L=2w

L=2(250/3)

L=500/3

so the width is 250/3 feet and the length is 500/3 feet.