A man wishes to cover his floor with tiles, each one measuring 3/4 inch by 2 inches. If his room is a rectangle, measuring 12 feet by 18
feet, how many such tiles will he need?
A) 144, B) 1152, C) 1728, D) 9216, E) 20736
Plz help me with this problem.. :-(
Answers
The number of tiles required to completely cover the floor is A) 144.
What are the area and perimeter of a rectangle?
We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, His room is a rectangle, measuring 12 feet by 18 feet,
Therefore, The area of the room is
= (12×18) sq feet.
= 216 sq feet.
Also given one measures 3/4 inches by 2 inches.
Therefore the area of one tile is,
= [3/4×(2)] sq inches.
= 3/2 sq inches.
So, The number of tiles requires is the area of the room divided by the area of one tile which is,
= (216/(3/2)).
= 216×(2/3).
= 144 tiles.
learn more about rectangles here :
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Answers
4x - 2y = 3
-2y = -4x + 3
y = -4/-2x - 3/2
y = 2x - 3/2......slope here is 2
for a parallel line, we use the same slope
y = mx + b
slope(m) = 2
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = 2(2) + b
1 = 4 + b
1 - 4 = b
-3 = b
so ur parallel equation is : y = 2x - 3
for a perpendicular slope, we need the negative reciprocal. All that means is flip the slope and change the sign. So we have a slope of 2...the negative reciprocal we need is -1/2
y = mx + b
slope(m) = -1/2
(2,1)...x = 2 and y = 1
now we sub again
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
ur perpendicular line is : y = -1/2x + 2
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x + 4 = 0
x = -4....this is a vertical line with an undefined slope....sorry but I am not sure about this one