10.) The length of the sides of a rectangular window have the ratio 1.7 to 1. The area of the windows is 2,720 square inches. What are the dimensions of the window?
a.) 40 inches by 36 inches
b.) 40 inches by 65 inches
c.) 40 inches by 34 inches
d.) 40 inches by 68 inches

Respuesta :

Let the width be x and the length = 1.7x
Area = length x width = x * 1.7x = 1.7x^2 = 2,720
x^2 = 2,720 / 1.7 = 1,600
x = sqrt(1,600) = 40
1.7x = 1.7 x 40 = 68

Therefore, the dimensions are 40 inches by 68 inches

The dimensions of the window based on the lengths of the rectangular window given will be D. 40 inches and 68 inches.

How to calculate the dimensions?

It should be noted that the area of a rectangle is given as the length multiplied by the width. In this situation, the area of the rectangle is given as 2720 inches².

Therefore, the dimensions will be 40 inches by 68 inches. This will be:

= 40 × 68.

= 1720

Therefore, the correct option is D.

Learn more about rectangles on:

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