A rectangular painting has an area of 720 square inches. Jasmine reduced the length and width of this painting by a scale factor of 1/6 to create a miniature copy. What is the area of the miniature copy?

Sagot :

[tex] A_{rectangle} [/tex] = l·w

If 1/6 of the length and width were used for the miniature, we need to multiply both the length and width by 1/6.

[tex] A_{rectangle} [/tex] = [tex] \frac{1}{6} [/tex] l · [tex] \frac{1}{6} [/tex] w

[tex] A_{rectangle} [/tex] = [tex] \frac{1}{36} [/tex] lw

So, the area of the miniature was reduced to [tex] \frac{1}{36} [/tex] of the original area.

720·[tex] \frac{1}{36} [/tex] = 20

Therefore, the area of the miniature is 20 in²