Question

The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.​

Answer 1

width is 17

length is 25

Explanation:

(x+9)(x+1) =
`x^(2)` + 10x + 9 = 425

`x^(2)` + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x cannot be -26

x = 16

so, (16 + 1) = 17

(16 + 9) = 25