The length of the larger canvas is 6 ft.
What are similar rectangles?
"Two rectangles are similar if their length and width are proportional."
For given example,
the length of the smaller canvas (l) = 3 ft.
the width of the smaller canvas (w) = 5 ft.
the width of the larger canvas (W) = 10 ft.
We need to find the length of the larger canvas (L).
Since these rectangular canvases are similar, their sides are in proportion.
⇒ [tex]\frac{l}{L} = \frac{w}{W}[/tex]
⇒ [tex]\frac{3}{L} = \frac{5}{10}[/tex]
⇒ 3 × 10 = L × 5
⇒ 30 = L × 5
⇒ L = 30/5
⇒ L = 6 ft.
Therefore, the length of the larger canvas is 6 ft.
Learn more about similarity here:
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