Answer:
When we have a discount of X% of the original price, the new price is calculated as:
New price = (original price) - (original price)*(X%/100%)
In our case, let's define:
P = original price of the fishing pole
f = price of the fishing pole after the discount
X% = 20%
Then the equation for the price of the fishing pole is:
f = P - P*(20%/100%) = P - P*0.2 = P*(1 - 0.2) = P*0.8
f = 0.8*P
This means that the price after the discount is 0.8 times the original price.
Showing the relationships among concepts.
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.