The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window?

Solution:

Given, lengths of the sides of a rectangular window have ratio 1.5 : 1

Area of the window = 1350 square inches

Let the length of the longer side of the window be 1.5x.

Hence, the length of the smaller side of the window will be x.

Area of the rectangle = length × width

So, 1350 = 1.5x × x

1350 = 1.5 x²

x² = 1350/1.5

x² = 900

Taking square root,

w = 30 inches

Now, l = 1.5(30)

l = 45 inches

Therefore, the dimensions of the window are l = 45 inches and w = 30 inches.

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The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window?

Summary:

The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. The dimensions of the window are l = 45 inches and w = 30 inches.