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3 years ago

The length of Rectangle A is 20 inches and the width is 4 inches. The length of Rectangle B is

Mathematics

2 answers:

evablogger [386]3 years ago

7 0

Answer:

Step-by-step explanation:

Lᵃ/Wᵃ = Lᵇ/Wᵇ

20"/4" = 40"/Wᵇ

Wᵇ = (4"×40")/20"

Wᵇ = 160" ÷ 20"

Wᵇ = 8"

Width of rectangle B = 8 inches

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astraxan [27]3 years ago

5 0

Answer:

8 inches

Step-by-step explanation:

Let w be the width of rectangle B.

Since, both rectangles are similar.

Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.

$\therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches$

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