Answer:
1. The length of the bathroom is equal to its width. FALSE
2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.
TRUE
3. The legend of the bathroom is 11.5 feet. FALSE
4. The equation 2 x+6=29 can be used to find the length of bathroom, x.
FALSE
5. The length of the bathroom is 8.5 feet. TRUE
Step-by-step explanation:
Here, given:
The width of the bathroom = 6 feet
The width of the kitchen = 10.75 ft
The perimeter of the bathroom = 29 feet
Let us assume the length of the bathroom = k units
PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)
Now, for the Mrs Avila's bathroom
29 feet = 2 (k + 6)
⇒ 29 = 2k + 12
or, 2 k = 29 - 12 = 17
⇒ k = 17/2 = 8.5 feet
So, the length of the bathroom = 8.5 units
Now, let us consider the given statements:
1. The length of the bathroom is equal to its width. FALSE
As here, Length= 8.5 units and width =
6 units
2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.
TRUE
3. The legend of the bathroom is 11.5 feet.
FALSE, the length of the bathroom is 8.5 units.
4. The equation 2 x+6=29 can be used to find the length of bathroom, x.
FALSE, the correct equation that can be used is 2x + 12 = 29
5. The length of the bathroom is 8.5 feet.
TRUE
