Question

the picture is enlarged to 4 1 /2 times its original size. fill in the boxes woth deminisions of the enlargement. diminision of picture are 6 1/4 in width, 3 3/4 inches length

Answer 1

Answer:

The dimensions of the enlargement picture are 28 1/8 inches width and 16 7/8 inches length

Step-by-step explanation:

we know that

To find out the dimensions of the enlargement, multiply the original size by the scale factor

we have

The scale factor is 4 1/2

Original size of the picture are 6 1/4 in width, 3 3/4 inches length

step 1

Convert mixed number to an improper fraction

$4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}$

$6\frac{1}{4}\ in=\frac{6*4+1}{4}=\frac{25}{4}\ in$

$3\frac{3}{4}\ in=\frac{3*4+3}{4}=\frac{15}{4}\ in$

step 2

Find out the dimensions of the enlargement

Width

$\frac{9}{2}(\frac{25}{4})=\frac{225}{8}\ in$

Convert to mixed number

$\frac{225}{8}\ in=\frac{224}{8}+\frac{1}{8}=28\frac{1}{8}\ in$

Length

$\frac{9}{2}(\frac{15}{4})=\frac{135}{8}\ in$

Convert to mixed number

$\frac{135}{8}\ in=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ in$

therefore

The dimensions of the enlargement picture are 28 1/8 inches width and 16 7/8 inches length