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Finding Maximum Areas using Tables of Values

Finding Maximum Areas using Tables of Values

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

1st - 6th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find the maximum area of a rectangle using a fixed length of fencing. It covers the calculation of area and perimeter, using tables of values to identify maximum areas, and addresses common misunderstandings. Two scenarios are discussed: one with 80 yards of fencing and another with 140 feet, where one side uses a building. The tutorial emphasizes the importance of understanding the relationship between length, width, and area, and how to use tables and functions to find maximum values.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for calculating the area of a rectangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can Sue maximize the area of her rectangular enclosure with 80 yards of fencing?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What dimensions yield the maximum area for Sue's rectangular enclosure?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the misunderstanding regarding the point XF of X in the context of the area function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the maximum area that can be enclosed using 140 feet of fencing?

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