Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
Answer:
18, 9, 27
Step-by-step explanation:
36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.
36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.
Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.
I think its C. 7x3 = 21. 7x18 = 126. 9x7 = 63
If you all that the answer its 210. If you estimate what that little part above the farthest to the right shape, I'd say its near 18 to 21. Then add 210 with either numbers 18 through 21, it would be close to 227 square meters.
Answer:
Total Area = 236.715 sq ft
Step-by-step explanation:
this is a composite figure made up of a circle and a rectangle; find the area of each and then add them together
A(circle) = πr²
= π(7.5²)
= 176.715
A(rectangle) = 15(4) which is 60
Total Area = 236.715 sq ft
Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.
