Question

In Rectangle IJKL find x and y

Answer 1

X= 61 and Y = 34

Explanation:

In a rectangle, sine opposite sides are equal, so

3x +21 = 6y and 6y-y = 2x +20

3x - 6y = -21 and 2x -5y = 20

Solve both equation, we get

Y = 34 and X= 61

Answer 2

Explanation:

In rectangle opposite sides are equal

2x + 20 = 6y - 6

2x - 6y = -6 -20

2x - 6y = -26 -------(i)

6y = 3x + 21 -------(ii)

Put 6y value in equation (i)

2x - (3x + 21) = -26

2x - 3x - 21 = -26

-x - 21 = -26

-x = -26 + 21

-x = -5

x =5

Put x = 5 in (ii)

6y = 3*5 + 21

6y = 15 +21

6y = 36

y = 36/6

y =6

Check:

6y - 6 = 6*6 - 6 = 36 - 6= 30

2x + 20 = 2*5 + 20 = 10+20 = 30

Opposite sides are equal