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Li Na split up the area of a rectangle to help her solve a division equation. area model split into $4$ parts, each with a width of $4$ units. From top to bottom the parts have a height of $500$ units and an area of $2,000$ square units; a height of $100$ units and an area of $400$ square units; a height of $80$ units and an area of $320$ square units; a height of $3$ units and an area of $12$ square units. $2,000$ square units $400$ square units $320$ square units $12$ square units $4$ units $500$ units $100$ units $80$ units $3$ units What equation did Li Na solve? Choose $1$ answer: $\newline$ Choose $1$ answer: $\newline$ (Choice A) $2,732$ divided by $683$ equals $683$ A $2,732$ divided by $683$ equals $683$ $\newline$ (Choice B) $2,732$ divided by $3$ equals $683$ B $2,732$ divided by $3$ equals $683$ $\newline$ (Choice C) $2,732$ divided by $4$ equals $683$ C $2,732$ divided by $4$ equals $683$

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Evaluate two-variable equations: word problems

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Q. Li Na split up the area of a rectangle to help her solve a division equation. area model split into

4

parts, each with a width of

4

units. From top to bottom the parts have a height of

500

units and an area of

2,000

square units; a height of

100

units and an area of

400

square units; a height of

80

units and an area of

320

square units; a height of

3

units and an area of

12

square units.

2,000

square units

400

square units

320

square units

12

square units

4

units

500

units

100

units

80

units

3

units What equation did Li Na solve? Choose

1

answer:

\newline

Choose

1

answer:

\newline

(Choice A)

2,732

divided by

683

equals

683

A

2,732

divided by

683

equals

683

\newline

(Choice B)

2,732

divided by

3

equals

683

B

2,732

divided by

3

equals

683

\newline

(Choice C)

2,732

divided by

4

equals

683

C

2,732

divided by

4

equals

683

Identify Total Area: Identify the total area of the rectangle by adding up the areas of the $4$ parts. $\newline$ $2{,}000 + 400 + 320 + 12 = 2{,}732$
Identify Total Width: Identify the total width of the rectangle. Each part has a width of $4$ units.
Calculate Total Width: The total width is $4$ units.
Form Equation: Form the equation by dividing the total area by the total width. $\newline$ $2{,}732 \div 4 = 683$

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