Answer:
2(2x + 5)(2x - 5)
Step-by-step explanation:
2(2x + 5)(2x - 5)
= (4x + 10)(2x - 5)
= 8x² - 20x + 20x - 50
= 8x² - 50
X^2 + 10X + 21
(X + 3)(X + 7)
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:

Where
is the lenght (the longer side) and
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

3. So, you must substitute
into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:
