# algebra

posted by .

the diagonal of a rectangular room is 13ft long. one wall measures 7ft longer than the adjacent wall. what are the dimensions of the room

• algebra -

13=(x+7)+x

x=3

So i think it would be 10X 3?

• algebra -

The diagonal forms 2 rt triangles: it is the hyp of the triangles.

Width = X ft.
Length = (x+7) ft.

x^2 + (x+7)^2 = (13)^2,
x^2 + x^2 + 14x + 49 = 169,
2x^2 + 14x - 120 = 0,
Divide both sides by 2:
x^2 + 7x - 60 = 0,
(x-5)(x+12) = 0,

x-5 = 0,
x = 5.

x+12 = 0,
x = -12.
Select + value of X:
X = 5 ft = Width.

X + 7 = 12 ft = Length.

## Similar Questions

1. ### geometry

the diagonal of a rectangular room is 52ft long. one wall measures 28ft longer than the ajacent wall. find the dimensions of the room
2. ### math

a student is painting one wall of a room. a square window is located in the middle of the wall to be painted. the window measures 3 feet on one side. the area of the wall, not including the window, is 80ft squared. find the height …
3. ### Math

for his new room Daren will need 154 feet sq of wall to wall to cover of his new square room. what is the length of each wall of his room?
4. ### math

The diagonal of a rectangular room is 52 ft long. one wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.
5. ### maths --plse help me..

Wall paper ,312cm long and 25cm wide is required to cover the wall of a room . length of the room is 7m and its breadth is twice its height. Determine the height of the room .
6. ### maths

Wall paper ,312cm long and 25cm wide is required to cover the wall of a room . length of the room is 7m and its breadth is twice its height. Determine the height of the room .
7. ### Math

a diagonal brace is to be placed in the wall of room, the height (y) of the wall is 8 ft and the wall is 16 ft long (x). What is the exact length of the brace?
8. ### math

The diagonal of a rectangular storage room is 4 yards long. If its length is 2 times its width, find the dimensions of the room.
9. ### Math

A rectangular room is 4 meters wider than its high and it is 8 meters longer than its wide. the total Ares of the wall is 512 square meters. Find the dimensions of the room.
10. ### Math

A rectangular room is 4 meters wider than its high and it is 8 meters longer than its wide. the total Ares of the wall is 512 square meters. Find the dimensions of the room.

More Similar Questions