Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
The distributive property: a(b + c) = ab + ac
12(6k + 3) + 4(7 - 5k) = 12(6k) + 12(3) + 4(7) + 4(-5k)
= 72k + 36 + 28 - 20k = 52k + 64
If the diameter is 9 cm the radius is 4.5 cm (half the diameter). The area of a circle is given by the formula: 4πr^2, where π is the constant ratio of circumference to diameter (3.14159...).
3.14 cm x 4.5 cm = 14.13 cm^2. Remember, the units must be squared to represent area. 14.13 is extended to the nearest hundredth.
(4x – 7)(16x^2 + 28x + 49) is equivalen to 64x3 - 343!
