<span><u>Answer
</u>
Left border = 8 feet
Lower border =32 feet
Area=128 〖ft〗^2
<u>Explanation </u>
The area is a right triangle.
Let us take the left border to be y feet and the lower border to be x feet
Area=1/2 yx
The cost of fencing would be 4y+x=64.
From this expression x=64-4y
Substituting this value of x in the area we have;
Area=1/2 y(64-4y)
A=32y-2y^2
To get the maximum area of the triangle the first derivative of the area would te equal to zero.
A=32y-2y^2
dA/dy=32-4y=0
4y=32
y=8
Since x=64-4y
x=64-(4×8)=32
The dimensions of the garden are 8 feet by 32 feet.
Since the garden is a right triangle,
Area=1/2×8×32
Area=128 〖ft〗^2
</span>
FIRST OF ALL WE FIND FOR THE AREA OF THE RECTANGLE THEN WE ADD THE RESULT TO THE AREA OF THE TRAPEZIUM.
Step-by-step explanation:
area of a rectangle = L× B= 4×8= 32ft.
Area of a TRAPEZIUM = L×B×H = 4.5×14×4=252ft
(A) RECTANGLE+ (A) TRAPEZIUM= 32ft+252ft
= 284ft.
Answer:
√22
Step-by-step explanation:
Answer:
The width of the actual fence is 90ft
Step-by-step explanation:
If 2in = 10ft, you want to find the scale factor. To do this, you need to divide 10/2, so for every 5ft, it is 1in. Now, you would take how many inches you have and multiply it by 5. (in our case, 18in)
18 x 5 = 90.
So the actual fence length is 90ft.
