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

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

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(1)/(2)=(4*2+1)/(2)=(9)/(2)`

`6(1)/(4)\ in=(6*4+1)/(4)=(25)/(4)\ in`

`3(3)/(4)\ in=(3*4+3)/(4)=(15)/(4)\ in`

step 2

Find out the dimensions of the enlargement

Width

`(9)/(2)((25)/(4))=(225)/(8)\ in`

Convert to mixed number

`(225)/(8)\ in=(224)/(8)+(1)/(8)=28(1)/(8)\ in`

Length

`(9)/(2)((15)/(4))=(135)/(8)\ in`

Convert to mixed number

`(135)/(8)\ in=(128)/(8)+(7)/(8)=16(7)/(8)\ in`

therefore

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