Answer:
Hence new dimension of new garden is 27 by 51
Step-by-step explanation:
Initial dimension of his square garden = X by X
Final dimension of his rectangular garden = L by B
Perimeter of his garden = 60 = 4X
Hence X = 60/4 = 15 ft
Area of the square garden = 15 x 15 = 225 ft²
New garden dimensions
L + 3 = 2W-----------------Eqn 1
2(L+W) = 60---------------Eqn 2 (since both shapes have the same perimeter)
solving both equations simultaneously
From equation one L = 2W-3, it's now substituted into equation 2
from equation 2, 2L+2W= 60
Hence 2(2W-3) + 2W = 60
W = 27 ft
L= 2(27)-3= 51 ft
Hence length and breadth of new garden is 27 by 51
"3 units down" affects only the y coordinate (making it 3 units lower, or -3), while "4 units to the left" affects the x coordinate (-4). To solve this, we just need to do (x-4, y-3) with each of the points of the shape!
therefore:
(2, -1) (1, -4) (3, -5) and (5, -3) become (-2, -4), (-3, -7), (-1, -8), and (1, -6). These will be the 4 new points of the quadrilateral :) Let me know if I can help with explaining any more!
1011101₂ = 1 • 2⁶ + 1 • 2⁴ + 1 • 2³ + 1 • 2² + 1 • 2⁰
1011101₂ = 64 + 16 + 8 + 4 + 1
1011101₂ = 93₁₀
Answer:
1,000
Step-by-step explanation:
all you have to do is y/x
3,000/3=1,000