Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!
Here we can use fact than we can multiply fraction by inverse of fraction instead of dividing it.
Inverse of 1/3 is 3/1
Lets multiply it
- its our result
-6 is the answer to the problem.
Answer:
Step-by-step explanation:
Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.
<u>Area of semicircle:</u>
- A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²
<u>Area of rectangles:</u>
- 7*9 = 63 in²
- 6*14 = 84 in²
<u>Total area:</u>
- 25.12 + 63 + 84 = 172.12 in²
Answer:
y = 130°
Step-by-step explanation:
4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)
8x = 184
x = 23°
3x - 19 + y = 180 (supplementary = 180)
sub x = 23 into equation
50 + y = 180
y = 130°
