Question

The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 148 ​inches?

Answer 1

The possible values of S are the values between 37 and 49. (Excluding 37 and 49)

Explanation:

If the perimeter of the square must be greater than 148 inches but less than 196 inches.

And perimeter of a square = 4s

We intend to find the values of s such that:

148 < 4s

¹⁴⁸⁄₄ < ⁴ˢ/₄

37 < s

Also:

4s < 196

s < ¹⁹⁶⁄₄

s < 49

Therefore:

37 < s < 49.

The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)