Q:

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

Accepted Solution

A:
Answer:The dimensions of the enlargement picture are 28 1/8 inches width and 16 7/8 inches lengthStep-by-step explanation:we know thatTo find out the dimensions of the enlargement, multiply the original size by the scale factorwe haveThe scale factor is 4 1/2Original size of the picture are 6 1/4 in width, 3 3/4 inches lengthstep 1Convert mixed number to an improper fraction[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex][tex]6\frac{1}{4}\ in=\frac{6*4+1}{4}=\frac{25}{4}\ in[/tex][tex]3\frac{3}{4}\ in=\frac{3*4+3}{4}=\frac{15}{4}\ in[/tex]step 2Find out the dimensions of the enlargementWidth[tex]\frac{9}{2}(\frac{25}{4})=\frac{225}{8}\ in[/tex]Convert to mixed number[tex]\frac{225}{8}\ in=\frac{224}{8}+\frac{1}{8}=28\frac{1}{8}\ in[/tex]Length[tex]\frac{9}{2}(\frac{15}{4})=\frac{135}{8}\ in[/tex]Convert to mixed number[tex]\frac{135}{8}\ in=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ in[/tex]thereforeThe dimensions of the enlargement picture are 28 1/8 inches width and 16 7/8 inches length