Question

The perimeter of a rectangle is 176 m. The length is 4 m less than three times the width. Find the dimensions of the rectangle.

Answer 1

Length = 65 m

Width = 23 m

Explanation:

Width = w

Length = 3w - 4

Perimeter of rectangle = 176 m

2*(length + width) = 176

2*( 3w - 4 + w ) = 176

2* ( 4w - 4) = 176

2*4w - 2*4 = 176

8w - 8 = 176 { add 8 to both sides}

8w = 176 +8

8w = 184

8w/8 = 184/8

w = 23 m

Length = 3w - 4

= 3*23 - 4

= 69 - 4

Length = 65 m