Question

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

40 inches. Find the width of Rectangle B if the rectangles are similar.

Answer 1

8"

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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Answer 2

8 inches

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 (20)/(40) = (4)/(w) \\ \\ (1)/(2) = (4)/(w) \\ \\ w = 2 * 4 \\ \\ w = 8 \: inches`