Trapezoid Area
Trapezoid Area - Related Videos
01:26
Trapezoidal Rule
0 Views •
2026
Estimating the distance traveled by a vehicle using its recorded velocity over time is a common problem in physics and engineering. When velocity data is available at discrete time intervals, rather than as a continuous function, numerical integration methods such as the trapezoidal rule are often employed to approximate the total displacement.The trapezoidal rule works by dividing the total time interval into several equal segments. Within each segment, the recorded velocities at the endpoints...
06:40
Laser-guided Neuronal Tracing In Brain Explants
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2015
We describe a technique to label neurons and their processes via anterograde or retrograde tracer injections into brain nuclei using an in vitro preparation. We modified an existing method of in vitro tracer electroporation by taking advantage of fluorescently labeled mouse mutants and basic optical equipment in order to increase labeling accuracy.
10:31
In Vitro Wedge Slice Preparation for Mimicking In Vivo Neuronal Circuit Connectivity
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Cited by 2 •
2020
Integration of diverse synaptic inputs to neurons is best measured in a preparation that preserves all pre-synaptic nuclei for natural timing and circuit plasticity, but brain slices typically sever many connections. We developed a modified brain slice to mimic in vivo circuit activity while maintaining in vitro experimentation capability.
02:59
Auditory Nerve Root Stimulation and Postsynaptic Current Recordings in a Mouse Brain Wedge Slice
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2025
This video demonstrates a protocol for stimulating the auditory nerve root and recording postsynaptic currents in medial olivocochlear neurons in mouse brain wedge slices.
03:51
Label-Free Neutrophil Separation from Tracheal Secretion Using Spiral Microfluidics Channel
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2025
This video demonstrates separating neutrophils from tracheal secretions using a microfluidic device with spiral channels. The device achieves efficient separation based on cell size by utilizing varying thicknesses and trapezoidal-shaped channels. The interplay between forces results in large neutrophils accumulating near the inner wall while erythrocytes and mucin aggregates remain near the outer wall, ensuring effective neutrophil separation.
FAQs
The averaging step combines the two parallel base lengths before the height is applied. Each base contributes according to its length, while the perpendicular distance determines how far the region extends between them. Keeping these roles distinct helps organize the calculation and makes it easier to check whether the correct measurements were substituted into the formula.
The height must be the perpendicular distance between the parallel bases, not simply any visible side length. A slanted leg may connect the bases while measuring a different distance, so substituting it can overstate or understate the result. Identifying the perpendicular measurement first is essential when reading a diagram or applying the formula to a real boundary.
If the two parallel bases have equal lengths, their average equals that common length. The expression then has the same structure as length multiplied by perpendicular width, so the trapezoid calculation matches the corresponding rectangle case. This special case provides a useful way to check a diagram or recognize when a trapezoidal region has simplified geometry.
First identify the two parallel sides and record their lengths as the bases. Next locate the perpendicular distance between them, rather than choosing a slanted side. Add the base lengths, divide their sum by two, and multiply by the height. Keeping the measurements organized in this order reduces the chance of confusing a base with the height.
A shape with an irregular outline can be divided into simpler regions, including trapezoids. Calculate the area of each trapezoidal part using its own pair of bases and perpendicular height, then combine the resulting areas according to how the regions fit together. This approach supports estimates for larger surfaces when treating the entire boundary as one simple figure is difficult.
Trapezoid area supports land surveying, architectural design, and engineering calculations. In these settings, a region with changing width can be represented by parallel boundary lengths and the distance between them. The resulting area estimate can help determine enclosed space, surface size, or material requirements, especially when an irregular boundary is divided into manageable trapezoidal sections.