Me. lincoln school is having a fundraising contest. each student is to design a school sticker. the designs are to be made to fit a rectangle that is 12 cm by 16 cm. each design is to have a border. the winning designs will be made into stickers that are dilated by a scale factor of 1/4. what will the dimensions of the stickers be? what will the perimeter and the area of the stickers be? dimensions: perimeter: area:

Answers:

Dimensions: 3 cm by 4 cm

Perimeter: 14 cm

Area: 12 square cm

Explanation:

We start off with a 12 cm by 16 cm rectangle, which turns into 3 cm by 4 cm when we divide each value by 4, which is the same as multiplying by 1/4. Alternatively, you can compute 1/4 = 0.25 first and then multiply 0.25 by 12 and 16 to get 3 and 4 respectively.

The length and width of this smaller rectangle is L = 3 and W = 4, so the perimeter P is

P = 2*(L+W) = 2*(3+4) = 2*7 = 14 cm

Alternatively, you can add up the four sides 3, 4, 3, 4 to get 3+4+3+4 = 7+7 = 14 which is the same perimeter value.

The area is

A = L*W = 3*4 = 12 square cm

note: You can write "square cm" as "cm^2"

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