SOLUTION: The length of a rectangle is 4 more than the width. The area is 77 square yards. Find the length and width of the rectangle

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Question 926721: The length of a rectangle is 4 more than the width. The area is 77 square yards. Find the length and width of the rectangle
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let width be w yards
length = w+4
area = 77 square yards
(length *width =77 square yards)
+%28w%2B4%29%2A%28w%29=+77
w%28w%29%2B4%28w%29+=77
+w%5E2+%2B4w+=77
move 77 to the left
+w%5E2%2B4w-77+=0
+w%5E2+%2B11w-7w-77=0
+w%28w%2B11%29-7%28w%2B11%29=+0
%28w%2B11%29%2A%28w-7%29=0
possible cases :
either w+11 =0 or w-7 =0
w=-11 or w=7
w cannot be negative
Hence W= 7 yards
length = 7+4 =11 yards
Result : length =11 yards
width = 7 yards