Question

The perimeter of a rectangle must be less than 196 feet. If the length is known to be 56 feet, find the range of possible widths for the rectangle. (Note: The formula for the perimeter of a rectangle is P=2l+2w , where l is the length and w is the width).

Answer 1

< 42

Explanation:

Given that :

Perimeter of a rectangle(P) = 2l + 2w

where l is the length and w is the width

P = 2(l + w)

P must be less than 196 feets

Length (l) = 56 feets

Range of possible widths :

196 = 2(56 + w)

196 = 112 + 2w

196 - 112 = 2w

84 = 2w

w = 42

Hence, the width must be less than 42

< 42