The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
<span> Yes, there is a "relationship" regarding the </span>tangent<span> of the two acute angles (A and B) in a right triangle.</span>
28. Surface Area
This is some sort of house-like model so for every face we see there's a congruent one that's hidden. We'll just double the area we can see.
Area = 2 × ( [14×9 rectangle] + 2[15×9 rectangle]+[triangle base 14, height 6] )
Let's separate the area into the area of the front and the sides; the front will help us for problem 29.
Front = [14×9 rectangle] + [triangle base 14, height 6]
= 14×9 + (1/2)(14)(6) = 14(9 + 3) = 14×12 = 168 sq ft
OneSide = 2[15×9 rectangle] = 30×9 = 270 sq ft
Surface Area = 2(168 + 270) = 876 sq ft
Answer: D) 876 sq ft
29. Volume of an extruded shape is area of the base, here the front, times the height, here 15 feet.
Volume = 168 * 15 = 2520 cubic ft
Answer: D) 2520 cubic ft
One decimal place means one place after the decimal point, therefore you should round appropriately to get to one place after the decimal point.
The answer would therefore be 12.6 <span />
What the maning of that ?
