Answer:
Step-by-step explanation:
The area is the product of length and width, which is to say that the length and width are factors of the area.
Assuming the dimensions are integers, you want factors of 84 that differ by 5.
... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12
The last of these pairs differ by 5, so ...
- the length is 12 inches
- the width is 7 inches.
If the number is n then
square of 2 times a number
square of 2n
(2n)²
that was your mistake, because (2n)²=4n², not 2n²
the result is 81
(2n)²=81
square root both sides
remember positive and negative roots
2n=+/-9
divide by 2
n=+/-4.5
n=4.5 or -4.5
You use the formula a² +b² =c²
so 4² +b² =8²
solve for b
Tan of an angle = perpendicular / base
<span>Here, perpendicular is the side of the triangle opposite the angle. </span>
<span>And base is the arm of the angle other the hypotenuse. </span>
<span>If the side of the triangle to be found (marked as ? in the figure) is x, then </span>
<span>perpendicular = 20 feet </span>
<span>base = x </span>
<span>so, tan 30 = 20/x </span>
<span>so, x = 20/(tan 30 degrees) = 34.64 feet </span>
<span>= 35 feet to the nearest foot</span>
