A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.

1 answer:

3 0

For this problem, it can be solved by forming two equations. The first equation is the area of the original rectangle. Let l be the length and w be the width. l x w = 72 will be 1st equation. Then, the 2nd equation is 3.5l * 3.5w = A. By substitution, the new area, A = 12.25( l x w) = 12.25 (72) = 882 in<span>².</span>

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3 3/4 divided by 12 1/2

notka56 [123]

Answer:

$\large\boxed{3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{3}{10}}$

Step-by-step explanation:

$\text{Convert the mixed numbers to the improper fractions:}\\\\3\dfrac{3}{4}=\dfrac{(3)(4)+3}{4}=\dfrac{12+3}{4}=\dfrac{15}{4}\\\\12\dfrac{1}{2}=\dfrac{(12)(2)+1}{2}=\dfrac{24+1}{2}=\dfrac{25}{2}\\\\3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{15}{4}:\dfrac{25}{2}\\\\\text{To divide a number by a fraction,}\\\text{multiply this number by the reciprocal of that fraction}:\\\\\dfrac{15}{4}\cdot\dfrac{2}{25}=\dfrac{30}{100}=\dfrac{3}{10}$