The width of a rectangular block of land is 2/7 of its length. If it's perimeter is 252m, find it's length.

Step-by-step explanation:

the perimeter is : p = 2 (x+y) ... x : width y : length

you have the system; 2 (x+y) = 252 ... (1)

x = (2/7) y ... (2)

y > x ... (3)

Substitute x = (2/7) y into (1) and simplifiy and solve for y:

(2/7) y + y = 126

(2y+7y) / 7 = 126

9y = 882

y = 98 m (the length)