Answer:
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a. 
b. 
Step-by-step explanation:
a. Given,
Perimeter of rectangular field ( P ) = 310 m
Length of the field ( L ) = 84 m
Width of the field ( W ) = ?
<u>Finding </u><u>the </u><u>width </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

plug the values
⇒
Distribute 2 through the parentheses
⇒
Swap the sides of the equation
⇒
Move 168 to right hand side and change it's sign
⇒
Subtract 168 from 310
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
Width = 71 meters
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2. Given,
Area of rectangular painting ( A ) = 5185 cm²
Width of the painting ( w ) = 61 cm
Length of the painting ( l ) = ?
<u>Finding </u><u>length </u><u>of </u><u>the </u><u>painting</u>

plug the values
⇒
Swap the sides of the equation
⇒
Divide both sides of the equation by 61
⇒
Calculate
⇒
cm
Length = 85 cm
Hope I helped!
Best regards !!!
x² + 3x - 4
rewrite with two middle terms that add to give three but multiply to yield -4
x² + x - 4x - 4
by factorizing
x(x + 1) - 4(x + 1)
⇒ (x - 4) (x + 1) = x² + 3x - 4
24 is greater than 16. Or in mathematical terms 24 > 16
The appropriate thing to do is what you would do with any math.
• Study the reference material and examples you are given, making sure you understand where the formulas apply and how they are used.
• Memorize the formulas you cannot derive easily based on the understanding you have.
• Work homework and extra problems until you can apply the formulas quickly and easily to any problem to which they are relevant.
_____
The distance formula is based on the Pythagorean theorem. For a right triangle of side lengths a and b and hypotenuse c, the Pythagorean theorem tells you
c² = a² + b²
Taking square roots, you get
c = √(a² + b²)
When "a" and "b" are the differences of coordinates in the Cartesian plane, this becomes the distance formula:
d = √((x₂-x₁)² + (y₂-y₁)²)
You can arrive at the midpoint formula a number of ways. I find it convenient to remember that the coordinates of a midpoint are simply the average of the coordinates of the end points. That is,
for midpoint M = (mx, my), and endpoints A = (ax, ay), and B = (bx, by)
M = (A+B)/2
(mx, my) = ((ax +bx)/2, (ay +by)/2)