Rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
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What are rectangles?</h3>
- A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.
- It can also be classified as an equiangular quadrilateral because all of its angles are equal, or a parallelogram with a right angle.
- A square is a rectangle with four equal-length sides.
What to know about parallelogram and rectangle:
- They both have two sorts of parallel sides as well as two pairs of opposite sides that are said to be congruent. All of the properties of a parallelogram are said to be shared by a rectangle.
- This results in a rectangle and, invariably, a parallelogram.
- However, a parallelogram is not generally referred to as a rectangle.
- Option d, LP ⊥ PN as the supplementary information, would demonstrate that LMNP is a rectangle.
Therefore, rectangles are recognized to have the same qualities as parallelograms. The alternative with the additional information would demonstrate that LMNP is a rectangle is LP ⊥ PN.
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The correct question is given below:
LMNP is a parallelogram.
What additional information would prove that LMNP is a rectangle?
A. The length of LM is √45 and the length of MN is √5.
B. The slope of LP and MN is –2.
C. LM ∥ PN
D. LP ⊥ PN
905 = 9 hundreds + 0 tens + 5 ones
or 8 hundreds, 10 tens, 5 ones
425 = 4 hundreds, 2 tens, 5 ones
8 hundreds, 10 tens, 5 ones
4 hundreds, 2 tens, 5 ones
---------------------------------------subtract
4 hundreds, 8 tens, 0 ones = 480......(905 - 425 = 480)
The question is missing the detail, it is to find the dimensions of the largest field that can be fenced in.
The formula for area is : A = xy
The perimeter of the fencing is equal to the sum of two widths and the length: 2x + y = 3000
Now, solve the second equation: y = 3000 – 2x
When you plug this expression to the formula for the area, we will get:
A = x (3000-2x) = 3000x – 2x^2
Next take the derivative and equal it to 0: dA/dx = 3000 – 4x = 0
Now solve for x, it will give us 750.
Find the second derivative.
d^2 A / dx^2 = -4
since we have a negative result, x = 75- is a maximum. Then plug this in to x:
3000 – 2 (750) = 1500. The largest field will measure 750 ft by 1500 ft.
Answer:
Step-by-step explanation: