Answer:
width = 72 yards
length = 108 yards
Step-by-step explanation:
Given:
- Width = 75 yards
- Length = 105 yards
<u>Area of the field</u> with the given values:

To maintain the <u>same perimeter</u>, but <u>change the area</u>, either:
- decrease the width and increase the length by the same amount, or
- increase the width and decrease the length by the same amount.
In geometry, length pertains to the <u>longest side</u> of the rectangle while width is the <u>shorter side</u>. Therefore, we should choose:
- decrease the <u>width</u> and increase the <u>length</u> by the <u>same amount</u>.
<u>Define the variables</u>:
- Let x = the amount by which to decrease/increase the width and length.
Therefore:


Solve the inequality:

Therefore, as distance is positive only and the maximum width is 75 yd (since we are subtracting from the original width):


Therefore, to find the width and length of another rectangular field that has the same perimeter but a smaller area than the first field, simply substitute a value of x from the restricted interval into the found expressions for width and length:
<u>Example 1</u>:
⇒ Width = 75 - 3 = 72 yd
⇒ Length = 105 + 3 = 108 yd
⇒ Perimeter = 2(72 + 108) = 360 yd
⇒ Area = 72 × 108 = 7776 yd²
<u>Example 2</u>:
⇒ Width = 75 - 74 = 1 yd
⇒ Length = 105 + 74 = 179 yd
⇒ Perimeter = 2(1 + 179) = 360 yd
⇒ Area = 1 × 179 = 179 yd²
Answer:
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Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:

Let's plug in what we know.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
7/8 x = 21
7x = 21×8
7x = 168
x = 24