a) The length of a rectangle is 2 ft more than twice the width. The area is40ft². Find the length and width of the rectangle.

b) The square of a negative number istwenty-fourmore thantwicethe negative number. Find the number.

c) The sum of two numbers iseight. The sum of the squares of the two numbers isthirty-four. Find the two numbers. (Enter your answers as a comma-separated list.)

d) The sum of the squares of two consecutive positiveevenintegers isfifty-two. Find the two integers. (smaller integer and larger integer)