A carpenter is designing a table. The table will be in the form of a…

Question

A carpenter is designing a table. The table will be in the form of a rectangle whose length is 4 feet more than its width. How long should the table be if the carpenter wants the area of the table to be 45 sq. ft ?

Accepted Answer

Option B. 9 ft. Answer & Solution Answer: Option B Solution: Let the width of the table be x feet. Then, length of the table = (x + 4) ft & x ( x + 4 ) = 45 & x^2 + 4x - 45 = 0 & x^2 + 9x - 5x - 45 = 0 & x ( x + 9 ) - 5 ( x + 9 ) = 0 & ( x + 9 ) ( x - 5 ) = 0 & x = 5 Hence, length of the table…