The perimeter of a rectangle is 42 inches. if the length of the rectangle is 14 inches, which equation could be used to find the width, x? a. 2(x + 14) = 42 b. x + 2(14) = 42 c. 14(x + 2) = 42 d. x + 14 = 42

Option A is correct

equation could be used.

Step-by-step explanation:

Given: The length of a rectangle is 14 inches and perimeter of rectangle is 42 inches.

Perimeter(P)of a rectangle in inches is given by:

; where  is the length of the rectangle and w is the width of the rectangle.

Substitute the value of  P=42 inches , w =x inches and inches in the above formula we get;

Divide by 2 on both sides  we get;

On simplify, we get;

x = 21-14 = 7 inches

therefore, the width of the rectangle is, x = 7 inches

Check :

Substitute the value of x =7 in option A.

42 = 42      

Hence, the only equation that could be used to find the width, x is,  

a

b

d

step-by-step explanation: