Question

In the floor plan for a house, one bed-

Answer 1

Answer: the length of one side of the bedroom is 24 feet.

the length of one side of the closet is 3 feet

Step-by-step explanation:

Let x represent the length of one side of the bedroom.

Let y represent the length of one side of the closet.

The sides of the bedroom were 8

times as large as the sides of the closet. This means that

x = 8y

the sum of the areas of the two was

585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,

x^2 + y^2 = 585 - - - -- - - -1

Substituting x = 8y into equation 1, it becomes

(8y)^2 + y^2 = 585

64y^2 + y^2 = 585

65y^2 = 585

y^2 = 585/65 = 9

Take square root of both sides of the equation,

y = √9 = 3

x = 8y = 8×3 = 24