The length of rectangle is 37.5 and width is 12.5
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = 3w
Perimeter of rectangle = 100
Perimeter = 2(Length+Width)

Dividing both sides by 8

Width of rectangle = 12.5
Length of rectangle = 3(12.5) = 37.5
The length of rectangle is 37.5 and width is 12.5
Keywords: Rectangle, perimeter
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If you are looking for an equation, it is
p < 45 (p is less than 45.)
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First, you have to represent each given set by listing their elements. Observe:
• D = {x | x is a whole number}
D = <span>ℤ
</span>D = {..., – 3, – 2, – 1, 0, 1, 2, 3, ...}
• E = {x | x is a perfect square between 1 and 9}
("between" does not include the boundaries)
E = {x | x is a perfect square, 1 < x < 9}
E = {x | x = k², k ∈ ℕ and 1 < x < 9}
E = {2²}
E = {4}
• F = {x | x is an even number, 2 ≤ x < 9}
F = {2, 4, 6, 8}
So,
D ∩ F
= {..., – 3, – 2, – 1, 0, 1, 2, 3, ...} <span>∩ {2, 4, 6, 8}
</span>
= {2, 4, 6, 8} ≠ {4, 6}
Therefore, that statement is false.
I hope this helps. =)