Question

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 ?

A. 30 inches by 45 inches
B. 30 inches by 60 inches
C. 30 inches by 90 inches
D. 30 inches by 22.5 inches

Answer 1

Let the smaller length be a. Then the larger length will be 1.5a.
Now we can write the equation:

`1.5a^(2)=1350`
which simplifies to

`a= \sqrt{(1350)/(1.5) }=30`
Therefore choice A is the correct answer.

Answer 2

There are numerous information's already given in the question. Based on these information's the answer can be easily deduced.
Let us assume the length of the smaller side = x
Then
Length of the longer side of the rectangle = 1.5x
Area of the window = 1350 square inches
So
1.5x * x = 1350
1.5x^2 = 1350
x^2 = 1350/1.5
x^2 = 900
x = 30 inches
Then
Length of the longer side = 1.5 * 30 inches
= 45 inches
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the first option or option "A".