The length of a rectangle is 10 inches less than twice the width. The perimeter is 64 inches. Find the length and width.
A)The length is 18 inches; the width is 14 inches.
B)The length is 15 inches; the width is 17 inches.
C)The length is 50 inches; the width is 14 inches.
D)The length is 21 inches; the width is 19 inches.
E)The length is 23 inches; the width is 22 inches.

Question

Quizplus · Accepted Answer

The length (L) can be expressed as L = 2W - 10, where W is the width. The perimeter (P) of a rectangle is given by P = 2L + 2W. Substituting the given perimeter (64 inches) and the expression for L into the perimeter formula gives 64 = 2(2W - 10) + 2W. Simplifying this equation yields W = 14 inches for the width and L = 18 inches for the length, matching option A.

The Length of a Rectangle Is 10 Inches Less Than