1. The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10 ft. What is the perimeter of the larger square?
A.10 ft
B. 40 ft
C. 60 ft
D. 120 ft
2. A right triangle has an area of 13 m^2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle?
A. 39 m^2
B. 169 m^2
C. 117 m^2
D. 142 m^2
1. = 10*6 = 60
lol if you hate me like this post XD
Equation
1. To solve this problem, we need to know that the perimeter of a square is calculated by multiplying the length of one side by 4.
Given that the perimeter of the smaller square is 10 ft, we can find the length of one side. Since the perimeter is calculated by multiplying the side length by 4, we divide the perimeter (10 ft) by 4 to find the length of one side.
10 ft / 4 = 2.5 ft
The length of one side of the smaller square is 2.5 ft.
Next, we need to find the length of one side of the larger square when the sides are increased by a scale factor of 6.
To find the length of one side of the larger square, we multiply the length of one side of the smaller square (2.5 ft) by the scale factor (6).
2.5 ft * 6 = 15 ft
The length of one side of the larger square is 15 ft.
Finally, we can calculate the perimeter of the larger square by multiplying the length of one side by 4.
Perimeter of the larger square = 15 ft * 4 = 60 ft.
Therefore, the perimeter of the larger square is 60 ft, so the correct answer is C.
2. To solve this problem, we need to know that the area of a triangle is calculated by multiplying the length of the base by the height and dividing by 2.
Given that the area of the original right triangle is 13 m², we can find the dimensions of the triangle by solving the area formula.
Area = (base * height) / 2
13 m² = (base * height) / 2
Multiplying both sides by 2, we get:
26 m² = base * height
Next, we need to find the dimensions of the new triangle when the dimensions are increased by a scale factor of 3.
To find the new area, we need to multiply the base and height of the original triangle by the scale factor squared.
New base = original base * scale factor = base * 3
New height = original height * scale factor = height * 3
Therefore, the new area is given by:
New area = (new base * new height) / 2
= (base * 3) * (height * 3) / 2
= base * height * 9 / 2
= 13 m² * 9 / 2
Calculating the above expression:
New area = 13 m² * 9 / 2
= 117 m² / 2
= 58.5 m²
Therefore, the area of the new triangle is approximately 58.5 m², so the correct answer is C.
Lol i love how you got 5 dislikes on your first post then 4 likes on your second for roasting those guys lol
Yes, those answers are right.
2. 3^2 = 9
9*13 = 117
Am I right?
lol dats right, dislike me XD #HatersGonnaHate, lozers XD
Follow me on roblox
happyslade1