Determine the final price of an item that costs $75 and is 10% off show working

$67.50

Step-by-step explanation:

First, find the discount.

Multiply the discount rate by the cost.

discount rate * cost

The discount rate is 10% and the cost is $75.

$75 * 10%

Convert 10% to a decimal. Divide 10 by 100 or move the decimal place two spots to the left.

10/100 = 0.10       or         10.0 --> 1.0 --> 0.10

$75 * 0.10

$7.5

Now, find the final price.

Since it is a 10% discount, we must subtract the discount amount from the cost.

cost - discount

The cost is $75 and the discount is $7.5

$75 - $7.5

$67.50

The final price of a item that costs $75 with a 10% discount is $67.50

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2