Question

Ralph wants to build a rectangular deck with a predefined area of 1848 feet squared. One side of the deck will be 53 feet longer than theother. To find the side lengths, he first writes the equation (x)(x + 53) = 1848 and later simplifies it to (x - 24)(x + 77) = 0, where xis the length of the shorter side.Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply.29532477130

Answer 1

we have

(x - 24)(x + 77) = 0

so

The solutions are

x=24

and

x=-77 -----> the length can not be a negative number

therefore

the solution of the short length is

x=24 ft

and the other is

24+53=77 ft

so

24 and 77