Answer:
Length of the Area = 50mtrs
Width of the Area = 20mtrs
Step-by-step explanation: Let the x be the length and y be the width of the Area. So we can write x = 2 y + 10 and x y = 1000 or ( 2 y + 10 ) y = 1000 or 2 y 2 + 10 y = 1000 or 2 y 2 + 10 y − 1000 = 0 or y 2 + 5 y − 500 = 0 or y 2 + 25 y − 20 y − 500 = 0 or y ( y + 25 ) − 20 ( y + 25 ) = 0 or ( y + 25 ) ( y − 20 ) = 0 or y + 25 = 0 or y − 20 = 0 or y = − 25 Invalid value contains negative sign or y = 20 So Width of the Area is 20 ----------Ans By plugging the value of y = 20 in the eqn x = 2 y + 10 we get Length of the Area = 2 × 20 + 10 = 50 -------------Ans