A rectangular field has a length 10 feet more than it is width. If the area of the field is 264, what are the dimensions of the rectangular field?
Choose the correct choice from the following answers.
A) 22 B) 23 C) 24 D) 25 E) 26
Let x and y be the length and width of the field. The statement "a length 10 feet more than it is width" may be formulated by   x = 10 + y   The formula for the area is given by   A = x y   Substitute A and x in the above equation by 264 and 10 + y respectively to obtain   264 = (10 + y) y   Write the above equation in standard form as follows   y 2 + 10 y - 264 = 0   Solve the above equation for to obtain   y = 12 and y = - 22   Since y is the value of a width it must be positive. The dimensions of the field are given by   y = 12 and x = 10 + y = 22   As an exercise, check that the rectangular field has length 10 feet more than it is width and an area of 264.   22nswer 22
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A rectangular field has a length 10 feet more than it is width. If the area of the field is 264, what are the dimensions of the rectangular field?