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Feliz [49]
2 years ago
15

The area of a rectangle is 192 in2. The ratio of the length to the width is 4:3. Find the length and the width.

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

Step-by-step explanation:

<em>l</em><em>et </em><em>the </em><em>length</em><em> </em><em>and </em><em>breadth's </em><em>ratio</em><em> </em><em>be </em><em>4</em><em>x</em><em> </em><em>and </em><em>3</em><em>x</em>

<em>Given</em><em>,</em><em> </em>

<em>area </em><em>of </em><em>rectangle</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em><em> </em><em>in²</em>

<em>we </em><em>know</em><em>,</em>

<em>Area </em><em>of </em><em>rectangle</em><em> </em><em>=</em><em> </em><em>L </em><em>×</em><em> </em><em>B/</em><em>w </em>

<em>after </em><em>inserting</em><em> </em><em>the</em><em> values</em><em> </em><em>in </em><em>the </em><em>formula</em><em> </em><em>we </em><em>got,</em>

<em>→</em><em> </em><em>4</em><em>x</em><em> </em><em>×</em><em> </em><em>3</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em><em> </em>

<em>→</em><em> </em><em>1</em><em>2</em><em>x</em><em>²</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em>

<em>→</em><em> </em><em>x²</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em><em>/</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em>

<em>→</em><em> </em><em>x²</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em>

<em>→</em><em> </em><em>x </em><em>=</em><em> </em><em>√</em><em>1</em><em>6</em><em> </em><em>=</em><em> </em><em>4</em>

<em>→</em><em> </em><em>x </em><em>=</em><em> </em><em>4</em>

<em>therefore</em><em> </em><em>,</em><em> </em><em>length</em><em> </em><em>and </em><em>breadth</em><em>/</em><em>width </em><em>are,</em>

<em>length</em><em> </em><em>=</em><em> </em><em>4</em><em>x</em><em> </em><em>=</em><em> </em><em>4</em><em>×</em><em>4</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em>

<em>width</em><em> </em><em>=</em><em> </em><em>3</em><em>x</em><em> </em><em>=</em><em> </em><em>3</em><em>×</em><em>4</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em>

<em>hence </em><em>length</em><em> </em><em>is </em><em>1</em><em>6</em><em> </em><em>in.</em><em> </em><em>and </em><em>width </em><em>is </em><em>1</em><em>2</em><em>i</em><em>n</em><em>.</em>

<em><u>hope </u></em><em><u>this</u></em><em><u> answer</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> dear</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care</u></em><em><u> and</u></em><em><u> may</u></em><em><u> u</u></em><em><u> have</u></em><em><u> a</u></em><em><u> great</u></em><em><u> day</u></em><em><u> ahead</u></em><em><u>!</u></em>

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