The area of a rectangle is 44 in2. Where x is the width in inches and y is the length in inches, express the length of the rectangle in terms of its width.

Question

The area of a rectangle is 44 in². Where x is the width in inches and y is the length in inches, express the length of the rectangle in terms of its width.

y = 

 

Express the perimeter P (in inches) of the rectangle in terms only of x.

Answer 1

Area of a Rectangle: A = L W If X is the width, and Y is the length; then A = Y X

So, 44 = Y X *In terms of Y (Length): Y = 44/X

Perimeter: P = 2L + 2W

So, P = 2Y + 2X

*In terms of X (Width): P - 2Y = 2X

(P - 2Y) = X

2

OR P - Y = X

2