The area of a rectangular land is 45000 m2. The length and width are in the ratio of 7:2. What is the actual length of the rectangular land?

Answer 1

area = length x width

A=LW if L/W=7/2 then L=7W/2 substitute that into the Area equation

A=7W/2 x W = 7W²/2 = 45000

W²=(2/7)(45000) = 90,000/7

W=square root of 90.000/7 = 300/sqr7 = 113.4 meters

L=7W/2 = 7/2 x 113.4 = 396.9 meters

A=LW = 113.4 x 396.9 = 45004. The 113.4 and 396.9 were rounded up slightly, actual L and W is slightly less, but rounded to one decimal place they're accurate.