Answer:
Step-by-step explanation:
In order to find two unknown values, length and width of a rectangle, you must have two independent relations between those values. One relation is given in the problem statement:
L = 2W -65 . . . . . length is 65 ft less than twice the width
Another relation is given by the formula for the perimeter of a rectangle:
P = 2(L +W) . . . . with P = 770 given in the problem statement
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Using the first relation for L, we can substitute into the relation for perimeter to get ...
770 = 2((2W -65) +W)
770 = 6W -130 . . . . . . . . simplify
900 = 6W . . . . . . . . . add 130 to both sides
150 = W . . . . . . . . divide both sides by 6
L = 2(150) -65 = 235 . . . . . use the equation for L to find the length
The base is 235 feet long and 150 feet wide.
