a field has a rectangular shape. the length is 10 m longer than 3 times the breadth. if the length is decreased 50m and breath is increased by 4m, the length will be twice the breadth. determine the length and breadth

Answer 1

L = 3B + 10

L = 2B

Substitute 3B+10 for L.

(3B+10-50) = 2B

Solve for B, then L.

Answer 2

Width(breadth) = W.
Length = 3w + 10.

Length = 3w+10 - 50 = 3w - 40.
Width = w + 4.
3w - 40 = 2(w + 4).
W = 48 m.
Width = w + 4 = 48 + 4 = 52 m.
Length = 2 * 52 = 104 m.