The area formula of a circle is 
× π.
With that being said, we can solve both problems!
Starting with part A:
-The radius we know is 21cm. From there, we can substitute in our formula with the new value.
x π
From there, we can square our radius:
(21 x 21) x π
(441) x π
And finally, we can multiply by pi to get our answer.
(441) x π
1385.44236023
Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.
The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!
<em>Hope this helped! :)</em>
Answer:
length = 36 ft; width = 12 ft
Step-by-step explanation:
Let the width be x.
The length is 3x.
The perimeter is the sum of two lengths and two widths, and it equals 96 ft.
3x + 3x + x + x = 96
8x = 96
x = 12
Width = x = 12 ft
Length = 3x = 3(12 ft) = 36 ft
C, i think you forgot an x
(x+11)+(x-7)
x+11+x-7
x+x+4
2x+4
(2x^2-4x-3)(3x+1)
Expand
<span><span>(<span><span><span>2<span>x^2</span></span>+<span>−<span>4x</span></span></span>+<span>−3</span></span>)</span><span>(<span><span>3x</span>+1</span><span>)
Cross multiply
</span></span></span><span><span><span><span><span><span><span><span>(<span>2<span>x2</span></span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>2<span>x^2</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(1)
Simplify</span></span></span></span><span><span><span><span><span><span><span>6<span>x^3</span></span>+<span>2<span>x^2</span></span></span>−<span>12<span>x^2</span></span></span>−<span>4x</span></span>−<span>9x</span></span>−3
Simplify</span></span><span><span><span><span><span>6<span>x^3</span></span>−<span>10<span>x^2</span></span></span>−<span>13x</span></span>−3 is your answer</span></span>
