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Jamal is making two paintings using canvases that are similar rectangles. The length of the similar canvas is 3ft. and the width is 5 ft. What is the length of the larger canvas if the width is 10 ft.?

Sagot :

the answer is 6.the caravans are the double of each other so 3*2=6 so the length is 6

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:

https://brainly.com/question/15819659

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