The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
The length of side walk is 500 feet
<em><u>Solution:</u></em>
Given that, A rectangle park measures 300 ft by 400 ft
Length = 300 feet
Width = 400 feet
A sidewalk runs diagonally from one comer to the opposite corner
We have to find the length of side walk
Which means, we have to find the length of diagonal of rectangle
<em><u>The diagonal of rectangle is given by formula:</u></em>

Where,
d is the length of diagonal
w is the width and l is the length of rectangle
<em><u>Substituting the values in formula, we get</u></em>

Thus length of side walk is 500 feet
Answer:
Step-by-step explanation:
It is necessary to isolate the term of x from one side of an inequality to find its solution.
<h3>-4x-8>-20</h3>
<u>First, add by 8 from both sides.</u>

<u>Solve.</u>
-20+8=-12
<u>Rewrite the problem down.</u>

<u>Multiply by -1 from both sides.</u>
(-4x)(-1)<(-12)(-1)
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
(-12)(-1)=12
4x<12
<u>Divide by 4 from both sides.</u>
4x/4<12/4
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
12/4=3
<u>x<3</u>
- <u>Therefore, the correct answer is D. x<3 (last option).</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
54
Step-by-step explanation:
8(11 - 3) - 2(4 + 1)
11 - 3 = 8
4 + 1 = 5
8(5) - 2(5)
8 * 5 = 64
2 * 5 = 10
64 - 10 = 54