a) The area of a rectangle is calculated by multiplying the length by the width:
A = l·w
This formula allows us to express the width in terms of area and length. By dividing A by l, we find
A/l = w
We also recognize that the perimeter of a rectangle is the total length around it.
P = l + w + l + w
P = 2(l + w)
We aim to rewrite the perimeter formula to isolate l on one side, using the expression for w derived earlier.
P = 2(l + A/l)
By substituting the known value for A, we can express p(l) as
p(l) = 2(l + 25/l)
p(l) = 2l + 50/l
b) For lengths exceeding widths, we have
l > w
l > A/l
l² > A
l > √A
l > √25
This indicates that the domain of p(l) is
l ∈ (5, ∞)..... meters
To illustrate 1 hundredth (or 1%) on a grid consisting of 100 units, shade only 1 unit. In contrast, to illustrate 1 tenth (or 10%), you would shade 10 units. A visual representation of the grid would be helpful for further explanation.
we have the function
we understand that
In the context of the exponential function represented as
a signifies the initial value
b denotes the base
x represents the exponent
The initial value indicates the function's value when x equals zero
in this scenario
for 
the initial value corresponds to the point 
thus
the solution is displayed in the accompanying figure
