Garden Perimeter and Width Inequalities

Garden Perimeter and Width Inequalities

Assessment

Interactive Video

Mathematics

6th - 7th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to determine the range of possible widths for a rectangular garden with a fixed length of 12 feet, given that the perimeter must be between 36 and 48 feet. The instructor sets up a compound inequality using the perimeter formula, solves for the width, and concludes that the width must be between 6 and 12 feet.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of Liz's rectangular garden?

14 feet

16 feet

10 feet

12 feet

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the minimum perimeter required for Liz's garden?

24 feet

30 feet

36 feet

42 feet

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum perimeter allowed for Liz's garden?

52 feet

44 feet

40 feet

48 feet

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of inequality is used to express the perimeter constraints?

Simple inequality

Compound inequality

Quadratic inequality

Linear inequality

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to calculate the perimeter of a rectangle?

2(l + w)

2l + 2w

l + w

l * w

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in setting up the compound inequality for the garden's perimeter?

Find the diagonal

Substitute the length

Calculate the area

Substitute the width

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 2 times the length of the garden?

26

24

22

20

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