Keywords:
<em>Square tiles, design, width, long, area, inches
</em>
For this case we have square tiles. Then, for a certain design, 8 square tiles of width and 8 square tiles of length were placed, knowing that each square tile has an area of 1 square inch. We want to know Julia's design area.
So, if each square tile used to make the design has an area of 1 square inch, then it is 1 inch wide and 1 inch long each.
The area of a square tile is given by:
So if the and,
- If the design has 8 square tiles long, then the design length is inches
- If the design has 8 square tiles in width, then the width of the design is
Thus, the design area is given by the area of a square:
Answer:
The design area is 64 square inches
Answer:
x = 4.2 cm
Step-by-step explanation:
12.6/14.7 = x/4.9
cross-multiply to solve for 'x':
14.7x = 12.6(4.9)
14.7x = 61.74
x = 61.74÷14.7
x = 4.2
Part A)
Using the Pythagorean theorem you can find the height:
17^2 = 8^2 + x^2
289 = 64 +x^2
x^2 = 289 - 64
x^2 = 225
x = √225
x = 15
The height is 15 cm.
Part B)
Area of the triangular side: 1/2 x 16 x 15 = 120 square cm.
There are two triangles so 120 x 2 = 240 square cm.
One side = 20 x 17 = 340
There are 2 sides so 340 x 2 = 680 square cm.
The bottom is 16 x 20 = 320 square cm.
Total cardboard needed: 240 + 680 + 320 = 1,240 square cm.
The correct answer is (D).
In order to solve this problem, we first find what time it is now. The hour hand is just past the 9, and the minute hand is pointing at the 1. In order to put this into a time, we multiply the minutes by 5 and add it to the hour. This means she got to work at 9:05.
To finish this problem, we subtract 25 minutes from 9:05. This is equal to 8:40, so she left her house at 8:40 A.M., which means the answer is D.