Question

The difference between the length and width of a rectangle is 6, and their sum is 34. What are the length and width of the rectangle? Let the length be x and the width be y .

Answer 1

length = 20

Width = 14

Explanation:

x - y = 6 -------------------(I)

x + y = 34 ------------------(II)

Add equation (I) & (II). So y will be eliminated and you can find the value of x

(I) x - y = 6

(II) x + y = 34 {Now add}

2x = 40 {Divide both sides by 2}

x = 40/2

x = 20

Plugin x = 20 in equation(II)

20 +y = 34

y = 34 -20

y = 14