The lengths of the sides of a rectangular window have a ratio of 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window?

Solution:

Given

The ratio of the sides of the rectangular window is 1.6 to 1

Area of the window = 2560 square inches

The formula for the surface is S = a × b

a:b = 1.6:1

⇒ a = 1.6 × b

Using the surface formula, we get,

S = 1.6 × b²

b = √S/1.6

By substituting the given value of S

b = √2560/1.6

b = √1600

= 40

Substituting the value of b

a = 1.6 × b

a = 1.6 × 40 = 64

Therefore, the dimensions of the window are 40 inches by 64 inches.

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The lengths of the sides of a rectangular window have a ratio of 1.6 to 1. The area of the window is 2,560 square inches. What are the dimensions of the window?

Summary:

The lengths of the sides of a rectangular window have a ratio of 1.6 to 1. The area of the window is 2,560 square inches. The dimensions of the window is 40 inches by 64 inches.