Hi there!
We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:

Now, we know through the distributive property that we can distribute the
to everything in the parenthesis. Once this is done, we get:

Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together
. This then would make our equation:

Giving us for our final answer:

Hope this helps!
3(2x/5)
Final result :
6x
——
5
Step by step solution :
Step 1 :
x
Simplify —
5
Equation at the end of step 1 :
x
3 • (2 • —)
5
Step 2 :
Final result :
6x
——
5
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
The answer would be 30.0385
2/7 because its a part to whole ratio.