Chris spends $3 per square foot on carpet for a square room. If he spends about $430 on carpet, what is the approximate length, in feet, of a side of the room?
A. 12 ft
B. 36 ft
C. 72 ft
D. 215 ft
I think it is A.
Thank You.
Area = L * L = L^2
3 * L^2 = 430
so
L^2 = 143 which is pretty close to 144
so L is about 12
because 12*12 = 144
12
Thank You.
i think the answer is 12 too, btw.... thanks for helping me with my math homework! I just wanted to check and see if my answer was correct... and it was!
To find the approximate length, in feet, of a side of the room, we need to determine how many square feet of carpet Chris purchased for $430.
Given that Chris spends $3 per square foot of carpet, we can set up an equation:
$3 per square foot * X square feet = $430
We can solve this equation by dividing both sides by $3:
X square feet = $430 / $3
X square feet = 143.333...
Since we cannot have a fraction of a square foot, we can round this number to the nearest whole number. In this case, we'll round it down to 143 square feet.
Now, we need to determine the length, in feet, of a side of the square room.
To find the length of one side of a square when we know the area, we take the square root of the area.
√143 square feet ≈ 11.96 feet
To get the approximate length, rounded to the nearest whole number, we round 11.96 feet to 12 feet.
Therefore, the approximate length, in feet, of a side of the room is 12 feet. So, your answer is option A.