The tape diagram shows that Odalis is 132\,\text{cm}132cm132, start text, c, m, end text tall, which is 150\%150%150, percent of their sister Dalia's height.

 The tape diagram shows that Odalis is 

$132\,\text{cm}$132, start text, c, m, end text tall, which is $150\%$150, percent of their sister Dalia's height.

$132$$150\%$

A tape diagram with one tape split into 6 equal parts. All 6 parts are shaded. A curved brace above the whole tape is labeled 132. A curved brace below the whole tape is labeled 150 percent.

Complete the table to show different percentages of Dalia's height.

Height ($\text{cm}$start text, c, m, end text)	Percentage
	$150\%$150, percent of Dalia's height
	$25\%$25, percent of Dalia's height
	$100\%$100, percent of Dalia's height

The tape diagram shows that Odalis is $132\,\text{cm}$132, start text, c, m, end text tall, which is $150\%$150, percent of their sister Dalia's height.

$132$$150\%$

A tape diagram with one tape split into 6 equal parts. All 6 parts are shaded. A curved brace above the whole tape is labeled 132. A curved brace below the whole tape is labeled 150 percent.

Complete the table to show different percentages of Dalia's height.

Height ($\text{cm}$start text, c, m, end text)	Percentage
	$150\%$150, percent of Dalia's height
	$25\%$25, percent of Dalia's height
	$100\%$100, percent of Dalia's height

Hint #11 / 5

The tape diagram shows that the ratio of height to percentage is $\purpleD{132}:\purpleD{150\%}$start color #7854ab, 132, end color #7854ab, colon, start color #7854ab, 150, percent, end color #7854ab.

We are looking for ratios that are equivalent to $\purpleD{132}:\purpleD{150\%}$start color #7854ab, 132, end color #7854ab, colon, start color #7854ab, 150, percent, end color #7854ab.

Hint #22 / 5

Finding $\purpleD{150\%}$start color #7854ab, 150, percent, end color #7854ab of Dalia's height

$\purpleD{150\%}$start color #7854ab, 150, percent, end color #7854ab of Dalia's height is $\purpleD{132\,\text{cm}}$start color #7854ab, 132, start text, c, m, end text, end color #7854ab.

$132$$150\%$

A tape diagram with one tape split into 6 equal parts. All 6 parts are shaded. A curved brace above the whole tape is labeled 132. A curved brace below the whole tape is labeled 150 percent.

Now, we can use the same tape diagram to find $\blueE{25\%}$start color #0c7f99, 25, percent, end color #0c7f99 and $\maroonE{100\%}$start color #9e034e, 100, percent, end color #9e034e of Dalia's height.

Hint #33 / 5

Finding $\blueE{25\%}$start color #0c7f99, 25, percent, end color #0c7f99 of Dalia's height

Each part in the tape diagram is ${\dfrac{1}{6}}$start fraction, 1, divided by, 6, end fraction of $\purpleD{150\%}$start color #7854ab, 150, percent, end color #7854ab and ${\dfrac{1}{6}}$start fraction, 1, divided by, 6, end fraction of $\purpleD{132\,\text{cm}}$start color #7854ab, 132, start text, c, m, end text, end color #7854ab.

$\begin{aligned} \purpleD{150\%}\times \dfrac{1}{6} &= \blueE{25\%}\\\\ \purpleD{132}\times \dfrac{1}{6} &= \blueE{22} \end{aligned}$

Each part represents $\blueE{22\,\text{cm}}$start color #0c7f99, 22, start text, c, m, end text, end color #0c7f99.

$22$$22$$22$$22$$22$$22$$25\%$$150\%$

A tape diagram with one tape split into 6 equal parts, each labeled 22. The first part is shaded. A curved brace below the first part is labeled 25 percent. A curved brace below the whole tape is labeled 150 percent.

So, the ratio $\purpleD{132}:\purpleD{150\%}$start color #7854ab, 132, end color #7854ab, colon, start color #7854ab, 150, percent, end color #7854ab is equivalent to $\blueE{22}:\blueE{25\%}$start color #0c7f99, 22, end color #0c7f99, colon, start color #0c7f99, 25, percent, end color #0c7f99.

In other words, $\blueE{25\%}$start color #0c7f99, 25, percent, end color #0c7f99 of Dalia's height is $\blueE{22\,\text{cm}}$start color #0c7f99, 22, start text, c, m, end text, end color #0c7f99.

Hint #44 / 5

Finding $\maroonE{100\%}$start color #9e034e, 100, percent, end color #9e034e of Dalia's height

$\blueE{25\%} \times 4 = \maroonE{100\%}$start color #0c7f99, 25, percent, end color #0c7f99, times, 4, equals, start color #9e034e, 100, percent, end color #9e034e

So it takes ${4}$4 parts to represent $\maroonE{100\%}$start color #9e034e, 100, percent, end color #9e034e of Dalia's height.

$22$$22$$22$$22$$22$$22$$25\%$$100\%$$150\%$

A tape diagram with one tape split into 6 equal parts, each labeled 22. The first 4 parts are shaded. A curved brace below the first part is labeled 25 percent. A curved brace below the first 4 parts is labeled 100 percent. A curved brace below the whole tape is labeled 150 percent.

Each part represents $\blueE{22\,\text{cm}}$start color #0c7f99, 22, start text, c, m, end text, end color #0c7f99.

$\blueE{22}\times {4} = \maroonE{88}$start color #0c7f99, 22, end color #0c7f99, times, 4, equals, start color #9e034e, 88, end color #9e034e

So, the ratio $\purpleD{132}:\purpleD{150\%}$start color #7854ab, 132, end color #7854ab, colon, start color #7854ab, 150, percent, end color #7854ab is equivalent to $\maroonE{88}:\maroonE{100\%}$start color #9e034e, 88, end color #9e034e, colon, start color #9e034e, 100, percent, end color #9e034e.

In other words, $\maroonE{100\%}$start color #9e034e, 100, percent, end color #9e034e of Dalia's height is $\maroonE{88\,\text{cm}}$start color #9e034e, 88, start text, c, m, end text, end color #9e034e. That means Dalia is $\maroonE{88\,\text{cm}}$start color #9e034e, 88, start text, c, m, end text, end color #9e034e tall.

Hint #55 / 5

Completed table

Height ($\text{cm}$start text, c, m, end text)	Percentage
$\purpleD{132}$start color #7854ab, 132, end color #7854ab	$\purpleD{150\%}$start color #7854ab, 150, percent, end color #7854ab of Dalia's height
$\blueE{22}$start color #0c7f99, 22, end color #0c7f99	$\blueE{25\%}$start color #0c7f99, 25, percent, end color #0c7f99 of Dalia's height
$\maroonE{88}$start color #9e034e, 88, end color #9e034e	$\maroonE{100\%}$start color #9e034e, 100, percent, end color #9e034e of Dalia's height